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| Benjamin A.T., Quinn J. — Proofs That Really Count The Art of Combinatorial Proof |
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| Предметный указатель |
3-bonacci 41
Binary representation 76
Binet's formula 12 125 136
Binomial coefficient 4 63
Binomial theorem 67
Board, circular 17
Board, n-board 1
Bonferroni's inequality 84
Bracelet 17
Bracelet, colored 36
Bracelet, in-phase 17
Bracelet, n-bracelet 17
Bracelet, out-of-phase 17
Breakable 3
Cassini's identity 7
Catalan numbers 79
Circular n-board 17
Colored bracelet 36
Colored tiling 36
Companion sequence 36
composition 79
Condition 2
Continuants 57
Continued fraction 49
Continued fraction, finite 49
Continued fraction, infinite 54
Continued fraction, nonsimple 58
Convergent 54
CYCLE 92
Cycle, left 97
Cycle, right 97
deMoivre theorem 139
Diameter 22
Discriminant 37
Domino 1
Domino, staggered 8
Euclidean algorithm 11 119
Euler's theorem 116
Factorial 92
Factorial, falling 104
Factorial, rising 95
fault 7
Fault-free 8
Fermat's little theorem 115
Fibonacci numbers 1
Fibonacci polynomial 141
Fibonacci Society 13
Fibonacci, generalized 17
Fibonacci, generalized, 3-bonacci 41
Fibonacci, generalized, k-bonacci 43
Fibonacci, generalized, Tribonacci 41
Fibonomial coefficient 15
Finite continued fraction 49
Fixed point 114
Freshman, binomial theorem 121
Freshman, sum 31
GCD 11 118
Generalized 3-bonacci 42
Generating function 104
Geometric series 113
Gibonacci numbers 17
Gibonacci polynomials 142
Goalpost 42
Greatest common divisor 11 118
Harmonic number 91
Harmonic number, r-harmonic numbers 107
Height conditions 50
Ideal initial conditions 36
In-phase 17
Inclusion-exclusion 82
Infinite continued fraction 54
Initial conditions, ideal 36
k-bonacci numbers 43
Kronecker delta 84
Lagrange's theorem 118
Left cycle 97
| Linear recurrence 35
Lucas numbers 17
Lucas polynomials 142
Lucas sequences, first kind 35
Lucas sequences, second kind 33
Lucas theorem 122
Lucas, Edouard 32
Magic trick 30
Mathemagics 30
Median 68
Median square 5
Mediant 31
Middlest square 126
Multichoose coefficient 63
Multinomial coefficient 43
Multisubset 70
n-board 1
n-bracelet 17
n-tiling 4
Nonsimle finite continued fraction 58
Orbit 114
Ordered partition 79
Out-of-phase 17
Partitions of integers 79
Partitions, ordered 79
Pascal's triangle 64 75
Path counting 79
Permutation 92
Permutation notation 92
Phased colored tiling 37
Phased restricted colored tiling 47
Phased tiling 23
Pisano, Leonardo 12
Polynomial, Fibonacci 141
Polynomial, Gibonacci 142
Polynomial, Lucas 142
Pythagorean triple 13
Recurrence, Fibonacci 1
Recurrence, Gibonacci 17
Recurrence, linear 36
Recurrence, linear, kth order 35 43
Recurrence, linear, second-order 38
Recurrence, linear, third-order 40
Restricted phased colored tiling 47
Right cycle 97
Rising factorial 95
Series, geometric 113
Set partition notation 103
Signed involution technique 89
Signed set principle 89
Simson's formula 7
Square 1
Square, median 5
Square, middlest 126
Square, stackable 50
Staggered formation 8
Stirling numbers, first kind 91 93
Stirling numbers, r-Stirling number 107
Stirling numbers, second kind 91 103
Symmetric difference 81
tail 7
Tail swap 7 27
Telescoping sum 114
Tiling, colored 36
Tiling, n-tiling 4
Tiling, phased 23
Tiling, phased colored 37
Tiling, restricted 47
Tiling, weighted tiling 44 59
Total weight 44
Totient function 116
Tribonacci numbers 41
Unbreakable 4
Vandermonde's identity 66
Weighted 44 59
Wilson's theorem 117
Zeckendorf's theorem 15
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