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Sloane N.J.A. — Handbook of Integer Sequences |
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Предметный указатель |
Abundant numbers 200 1690
Ackermann’s sequence 929
Alcohols 436 541 1023 1063
Algebras 2344 2346
Alkyls 303 467 618 798 1235 1633
Amicable numbers 2352 2363
Ammonium 1065
Arabic numerals, dependent on 1897
Arrays 666 2080
Artiads 2351
Automata 1285 2033
Ballot numbers 456 554
Beatty sequence 192 225 355 356 509 917 950 1001 1037 1338 1548
Bell formula 826 1134
Bell numbers 585
Bell polynomials 653
Benzols 1344
Bernoulli numbers 50 341 608 667 680 749 794 832 871 993 1265 1545 1624 1674 1677* 1746* 1747 1810 1875 1999 2000 2062 2089 2184 2200
Bernoulli polynomials 796 1527
Bessel function 613 716 767 790 1150 1242 1484 1575
Bessel polynomials 713 1495 1775 1795 1993 2146 2217
Binary expansion 41* 109 360 388 952
Binomial coefficients 1002 1363 1578 1719 1847 1911 1976 2013 2046 2073
Binomial coefficients, central 294 577 643 1144
Binomial coefficients, LCM of 344
Binomial coefficients, product of 773 837 1668 1752 2019 2140
Binomial coefficients, related to 128 988 1573 1683 2003 2114 2188
Binomial coefficients, sums 421 427 428 441 493 548 697 735 736 1164 1621 1755 1822 2225 2233 2328
Binomial moments 778 1643 2116 2296 2345
Bishops’ problem 1467
Boolean functions 307 310 475 494 604 677 678 683 721 980 1026 1083 1204 1343 1405
Boolean functions, invertible 146 348 723 853 868 873 1287 1289 1522 1807
Boolean functions, monotone 309* 486 1439
Boolean functions, nondegenerate 63 145 785
Boolean functions, self-dual 486 1085
Bracket function 567 995 1364 1576
c-Nets 1270 1326 1462 2111
calendar 2127
Catalan numbers 577
Chromatic numbers 1318 1327 1533
circuits 590 591
Class numbers 73 863 896 1068 1090 1282 1530 1535 1664 1673 1816 1841 1857 2220 2278 2315 2350
Cocoanuts 1262 1800
codes 165
Coefficients for central difference 1499 1789 1957 2092 2097 2173 2246
Coefficients for differentiation 424 846 1058 1276 1515 1676 1870 2036 2063 2075 2223 2229 2243 2249
Coefficients for extrapolation 821 848 1283 1644 2024
Coefficients for integration 671 805 807 892 1224 1256 1264 1274 1277 1626 1670 1687 1728 1802 1868 1887 1899 1922 1931 2056 2087 2093 2148 2160 2183 2227 2250
Coefficients for Laplace transform 1130 1602 1866 1981 2048 2104
Composite numbers 1322
Composite numbers, highly 162 196 385 620 1043 1180 1799
Compositions 543 551 999 1021 1362 1577
Conference matrices 615
configurations 783 1468
Congruences 878 1555 2038
Continued cotangent 748 1286 1652
Continued fraction 34 47 278 338 582 605 669 903 939 1054 1062 1345 1811
Convergents 260 335 549 563 603 686 756 925 945 1078 1140 1230 1240 1255 1316 1561 1684 1815 1880 1886
Coprime sequence 986 1073
Cosecant numbers 1205 1858
cosh 470 810
Cosine 810 1493 1973
Cotesian numbers 612 1172 1302 1829
Coverings 124 1228 1941
Cube root 521 1304
Cullen numbers 1125
Cyclotomic fields 1088
Davenport — Schinzel numbers 1339
Dedekind 309 1439
Demlo numbers 2339
Denumerants 98 99 375
Determinant 488 654 1019 1516 1642 1796 1806 1927
Differences 996 1883 2049 2149 2276 2305 2316 2362
Differences, of zero 625 1763 2235 2334 2370
Differences, periodic 127 426
Differential structures 2261
Digraphs 1156 1229 1476
Digraphs, functional 623 1069
Dirichlet 1300
Discriminants 922 2371
Dissections 339 367 391 419 577 599 696 817 942 1146 1163 1174 1269 1415 1454 1478 1509 1569 1607 1646 1780 1784 1788 1878 1982 2029 2115
Distribution problem 1485
Divisor function 1 2 13 26 86* 218 351 418 507 530 884 888 916 921 1114 If 1292 1307 1551 1708 1895 1964 1968 2135 2177 2257 2279 2353
Divisors of sequence, dependent on 175 859
Dumbbells 1381 1852 2016
e 684* 692 695 748 889 1071 1280
Elliptic curves 251 369 401 505 926 949 962 1321 2040 2125
Elliptic function 204 532 1098 1120 1397 1412 1501 1599 1737 1864 2117
Energy function 9 444
English words, dependent on 1301 1818 2218
Equation, difference 430
Equation, differential 277 471 572 632 1009
Equation, Diophantine 106 368 566 1419
Equiangular lines 994
Error function 1889
Esters 451
Euclid 329 330
Euler constant 34 1532*
Euler numbers 472 587* 665 679 858 865 1149 1169 1281 1417 1512 1667* 1672 1748 1793 1891 1955 2169 2199 2270 2329
Euler product 28 29 159
Euler suitable numbers 176
Euler totient function 52 58 110 111* 132 180 346 370 371 376 951 957 961 1215 1328 2349 2359
Eulerian numbers 1382 2047 2255 2310 2336 2355 2366
Expansions 24 112 501 755 769 770 810 927 973 1070 1086 1139 1182 1387 1493 1622 1813 1973 1986 2131 2211
Exponential function 755 1071 1280 1387
Exponential integral 538
Exponential, iterated 710 1178 1218 1455 1464 1648 1654 1781 1782 1879 1882
Exponents 350
Factorial numbers 107 167 312 337 659* 668 793 811 874 1202 1436 1492 1557 1614 1920 1980
Factorial numbers, central 1505 1510 1608 1661 1997—1998 2006 2025 2031 2118 2121 2210 2269 2283—2284 2287
Factorial numbers, double 742* 1217* 1538 1768
Factorizing n 32
Fermat coefficients 437 452 1042 1846 1975 2072 2137
Fermat numbers 990
Fermat quotients 22 882
Fibonacci numbers 64 103 217 240 256* 319 326 397 569 628 743 779 911 912 914 1101 1208 1298 1319 1359 1619 1638 1653 1945 2042 2051 2112
Fibonacci numbers, convolved 537 1124 1413 1595 1600 1733 1738 1865
Fibonacci numbers, generalized 80
Fielder sequence 289 290 935 937 938 1040 1041 1055 1056 1348 1349 1352
Figurate numbers 1578 1714 1719 1847 1907 1911 1970 1976 2008 2013 2046 2073
Filaments 131 317
Flexagons 1325
Folding a line 465 468 557 630 1106
Folding a map 745 750 1785 1956
Folding a strip of stamps 120 464 576 629
Forests 702 714 1190 1223 1225 1226
Full sets 772
Game 7 14 156 1186 1423 1635
Game, Wythoff 184 193 354 687 689 907 908 1113 1539 1547 1695
Gamma function 708 1446 2091 2347
Genocchi numbers 514 1233* 2174
geometries 462 670
Glaisher 280 607 1272 1615 1660 2057 2228
Glycols 627
Goldbach conjecture 899 900 959 1116 1694
Golden ratio 1334 1679
Good numbers 1853
Gram points 2185
graphs 458 479* 540 544 545 647 1024 1027
Graphs, colored 138 676 852 1030 1192 1406 1459 1606 1656 1770 1884 2303
Graphs, connected 574 601 649* 985 1232 1453 1496 1597 2245
Graphs, cubic 595 1388 1586 2324
Graphs, cutting numbers 757 923
Graphs, even 746
Graphs, genus of 182 1587
Graphs, minimal 380 450
Graphs, oriented 141
Graphs, planar 651
Graphs, series-reduced 528
Graphs, various 321 412 780 1115 1155 1295 1867
| Graphs, with one cycle 455 547 568 1066 1356
Groupoids 1518 1894 2035
groups 20 35* 130 477 504 581 621 685 2128 2311
Groups, alternating 910
Groups, symmetric 205 239 1995
Hamilton numbers 275* 920
Hamilton polygons 1203
Hankel functions 1212
Harmonic means 220 1743
Harmonic numbers 619 1157
Harmonic series 1385
Heptagonal numbers 1826
Hertzsprung’s problem 818
Hexagonal numbers 1705
Hexanacci numbers 431 1697
Hydrocarbons 135 268 318 523 905 987 1005
Hypergeometric function 897 1645
Hypothenusal numbers 675
integral 893 1303 1553 1698
Jacobi nome 823 2212
Jordan algebras 1167
Jordan — Polya numbers 372
Jumping 402
Kendall — Mann numbers 655
Keys 1832
Khintchine’s constant 47 609*
Kings’ problem 2017
Knots 322 323
Kummer 1854 2096 2331
Lah numbers 1766 2079 2207 2267 2297
Landau 212
Latin rectangles 140 500 672 851 860 862 867 1236 1502 1526 1665 2236
Latin squares 150 812 1508
Lattice points in various regions 221 390 508 524 534 967 997 1036 1486 1543 1570 1833 1860 2186
Lehmer’s constant 603 1230
Lemniscate function 1288 1675
Leonardo logarithms 17
Liouville’s function 12 333 955 2126
Locks 1623
Logarithmic numbers 10 347 658 759 797 845 1105 1135 1411 1422 1604 2001 2037 2194
Logarithms 151 1038 1299 1306 1689 1960
Lucas numbers 358 924* 1067 1384
Lucasian numbers 2039
Lucky numbers 23 1035*
magnetization 11 730 733
Majority decision functions 747
Maps 474 768 843 849 1175 1185 1435 1458 1460 1481 1483 1611 1647 1669 1671 2122 2123 2144 2298 2308
Matching cards 781 1258 2168 2258
Matrices 656 866 1447 1726 1798 1801 1803
Matrices, incidence 711 1195 1407 1457
Matrices, stochastic 707 1168 1188 1250 1437 1507 1792 2240 2247
Menage numbers 815 861 1193 1222 1910
Menage permutations 597
Menage polynomials 216 728 820 847 1029 1715 1908 2012
Mersenne numbers 189 248* 879 1079 1080 1311
Merten’s function 38
Minimal sequence 8
Modular form 1296 1317 1529 1546 1691 1704 1821 1835 1900 1906 1971 2010 2069 2071 2155 2367
Modular function 539 602 610 725 754 931 1314
Modular group 69 87 915 976 1700
Modular invariant 2372
money 473
Mosaic numbers 171
n-phi-torial 346
Natural numbers 173
Necklaces 44—46 114 115 191 202 203 257 262 285 288 403 438 440 443 940 943 1008 13701554 1582 1838
No-three-in-line problem 788 1313 1919
Number-theoretic function 60 157 183 362 503 1057
Octagonal numbers 1901
One odd, two even, ... 359
Packing 117 617
Palindromes 178 247 342 688 1358 1612 1954
Paraffins 249 258 267 274 457 490 546 555 575 642 932 1386 1410 1712
Parentheses 298 577 1163
Parity 154 359 1159
Partially ordered sets 588 809 1152 1194 1241 1243 1244 1456 1641 1776 1877
Partition function for lattices 578 906 1253 1682 1702 1909 2086
Partitions 100 244*
Partitions, binary 378 664
Partitions, bipartite 447 760 1060 1354 1367 1380 1564 1565 1571 1827 1830 1902 2041 2129 2219 2265 2295
Partitions, by lines 978 1011 1014 1015
Partitions, by number of parts 16 27 186 229 237 243
Partitions, by size of parts 113 116
Partitions, generalized 1000 1693 1703 2002 2004 2130 2134
Partitions, into nonintegral powers 515 622 691 726 729 1095 1200 1395 1563 1579 1590 1610 1616 1757
Partitions, into odd parts 78
Partitions, into parts of various kinds 396 525 533 535 536 1096 1117 1121—1123
Partitions, into powers of 1/2 261
Partitions, into primes 3 4 25 39 93* 94
Partitions, into squares 18 25 79
Partitions, mixed 286
Partitions, of points on a circle 520
Partitions, perfect 53
Partitions, planar 119 238 253 383 420 542 1016 1536 1549 1550 1552
Partitions, quadratic see “Quadratic partitions”
Partitions, rotatable 81 95
Partitions, solid 550 1061 1355 1371 1372 1580 1581 1710 1720 1721 1848 1849 1912 1913 2214 2307
Partitions, various 76 101 152 199 214 215 227 320 374 392 394 395 399 404 405 442 478 579 584 724 969 979 1006 1010 1018 1028 1050 1091—1094 1342 1368 1369 1374 1396 1572 1583 1722
Patterns 336 611
Pell numbers 319 552* 779
Pellians 15 529 762 890 1885 2108
Pentagonal numbers 16 511 1562* 1612
Pentanacci numbers 429 1542
Perfect numbers 213 1744* 1783
periods 1087 1678 1680
Permanents 2232 2248 2333 2369
Permutation networks 963
permutations 589 659
Permutations, 880* 889 1054 1142 1424 1814 1886 1893 1935 1961
Permutations, Baxter 148 652 1837
Permutations, by cycles 496 638 816 1137 1211 1261 1500 1631
Permutations, by inversions 583 644 1132 1416
Permutations, by number of pairs 598 1109 1176 1260 1279 1477 1617 1657 1786 1871 1934 2050 2053 2058 2181
Permutations, by order 137 190 210 495 727 1003 1118.1127 1427 1756
Permutations, by runs 803 824 827 840 1430 1592 1629 1666 1761 1771 1915 1938 2026 2027 2083 2158 2165 2313 2314 2360
Permutations, by subsequences 600 792 800 804 857 870 1409 1983 2161 2251 2288 2304
Permutations, discordant 153 838 946 1221 1589 1686 1717 1773 1967 1994 2101 2109 2133 2204 2208 2273 2275
Permutations, symmetric 645 698 777 1147 1881 1987
Permutations, various 208 463 480 626 633 637 657 734 1432 1513 1692 1696 1745 2032 2231
Polygonal numbers, central 391 1049
POLYGONS 482 491 1181 1257
Polynomials 209
Polynomials, Chebyshev 825 1100 1275 1398 1421 1591 1729 1741 1859 1916 1921 1923 2189
Polynomials, Hermite 799 808 2078 2088
Polynomials, hit 144 835 1031 1346 1365 1449 1475 1640 2005
Polynomials, irreducible 46 194 250 287 403 1554 1838
Polynomials, Lageurre 834 1794 1989 2163 2242 2253 2289 2337
Polynomials, Legendre 836 856 992 1207 1216 1246 1263 1266 1267 1649 1861 1939 1979
Polynomials, orthogonal 1491 1996
Polynomials, Rayleigh 300
Polynomials, rook 1053 1724 1978
Polynomials, Shapiro 2301
Polyominoes 66 67 295 305 334 560 561* 562 639—641 693 694 731 941 1072 1145 1162 1213 1603 1767
Polytopes 129 143 519 526 631 709 739
Porisms 198
Post functions 765 830 869 1237 1249 1593 1804 1808 1809 2034 2060 2094 2193 2260
Powers 891 1335 1336 1514
Powers, cubes, ..., ninth powers 1905 2154 2277 2318 2341 2357 2368
Powers, of 2 82 266 381 413 414 432* 434 435 497 1059
Powers, of 3 19 1129 1428 1596 1620 1765 1874 1937 1992 2054 2084 2085 2107 2120 2147 2164 2182 2192 2198 2213
Powers, of n 771 964 1227 1496 2170 2171
Powers, pseudo 2175 2226 2326
Powers, squares 223 517 787 966 1350*1357 1361 1378 1392 1556 1567 1727 1961 2291
Preferential arrangements 1191
Prime factors of various sequences 312 885 886 947 948 1081 1613 1628 1655 1855 1856 2095 2180
Prime numbers of measurement 363 1044
Prime pairs 235 982
PRIMES 90 185 241* 776 898
Primes, by primitive root 981 1823 1825 2224 2293 2325
Primes, cuban 188 1828 2105
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