Question

Generalised Fibonacci

score 161 · Answer 1 · 2014-08-09 11:59:33

161

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Generalised Fibonacci

Published on 09 Aug 2014 - 11:59

score 184 · Answer 2 · 2014-08-10 02:19:23

184

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nth convolved Fibonacci numbers of order 6 modulo m

Published on 10 Aug 2014 - 2:19

score 17.6k · Answer 3 · 2014-08-12 05:09:48

17.6k

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Proof by induction: $n$th Fibonacci number is at most $ 2^n$

Published on 12 Aug 2014 - 5:09

score 178 · Answer 4 · 2014-08-12 08:15:17

178

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using induction to prove that the formula for finding the n-th term of the Fibonacci sequence is:

Published on 12 Aug 2014 - 8:15

score 65 · Answer 5 · 2014-08-14 01:32:44

65

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How do I proceed from here on finding the Binet's formula via generating functions?

Published on 14 Aug 2014 - 1:32

score 134 · Answer 6 · 2014-08-20 02:10:56

134

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Fibonacci sequence: Given $n$ and $\mathrm{Fib}(n)$, is it possible to calculate $\mathrm{Fib}(n-1)$?

Published on 20 Aug 2014 - 2:10

score 1.8k · Answer 7 · 2014-08-22 21:26:59

1.8k

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Proof of the inequality $F_i<(5/3)^i$ for the Fibonacci numbers

Published on 22 Aug 2014 - 21:26

score 701 · Answer 8 · 2014-08-23 15:51:49

701

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If the generating function summation and zeta regularized sum of a divergent series exist, do they always coincide?

Published on 23 Aug 2014 - 15:51

score 18k · Answer 9 · 2026-03-25 14:20:17

18k

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Relationship between Primes and Fibonacci Sequence

Published on 25 Mar 2026 - 14:20

score 6.4k · Answer 10 · 2014-08-31 23:40:04

6.4k

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How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?

Published on 31 Aug 2014 - 23:40

score 64 · Answer 11 · 2026-03-25 22:04:14

64

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Number of strings of size $k$ that do not have 'ab'

Published on 25 Mar 2026 - 22:04

score 42 · Answer 12 · 2026-03-26 04:30:29

42

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How many rationals for a given $n \in \Bbb N \;\backslash \{1\}$?

Published on 26 Mar 2026 - 4:30

score 507 · Answer 13 · 2026-03-25 14:21:16

507

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Prime number distribution theory for dummies

Published on 25 Mar 2026 - 14:21

score 2.6k · Answer 14 · 2014-09-10 13:48:06

2.6k

Views

When do you need to prove more than 1 base case in the Fibonacci problem?

Published on 10 Sep 2014 - 13:48

score 138 · Answer 15 · 2014-09-15 17:40:46

138

Views

Fibonacci sequence: Prove the formula $f_{2n+1}=f_{n+1}^2 + f_n^2$

Published on 15 Sep 2014 - 17:40

List Question

Generalised Fibonacci

nth convolved Fibonacci numbers of order 6 modulo m

Proof by induction: $n$th Fibonacci number is at most $ 2^n$

using induction to prove that the formula for finding the n-th term of the Fibonacci sequence is:

How do I proceed from here on finding the Binet's formula via generating functions?

Fibonacci sequence: Given $n$ and $\mathrm{Fib}(n)$, is it possible to calculate $\mathrm{Fib}(n-1)$?

Proof of the inequality $F_i<(5/3)^i$ for the Fibonacci numbers

If the generating function summation and zeta regularized sum of a divergent series exist, do they always coincide?

Relationship between Primes and Fibonacci Sequence

How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?

Number of strings of size $k$ that do not have 'ab'

How many rationals for a given $n \in \Bbb N \;\backslash \{1\}$?

Prime number distribution theory for dummies

When do you need to prove more than 1 base case in the Fibonacci problem?

Fibonacci sequence: Prove the formula $f_{2n+1}=f_{n+1}^2 + f_n^2$

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