List questions from recurrence-relations

Published on 15 Apr 2026 - 4:32

136

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How to calculate the $n$-th member of sequence $a_{n+1}=\sqrt{y+a_{n}}$

Published on 16 Apr 2026 - 7:12

127

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Name of the numbers defined by $T(p,q) = T(p-1,q) + T(p,q-1)$?

Published on 16 Apr 2026 - 4:12

100

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Does the solution to $C_n = 2C_1 C_{n-1} - C_{n-2}$ can only be solved with $A = B = \frac{1}{2}$?

Published on 15 Apr 2026 - 21:40

854

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A closed form for the coefficients of Chebyshev polynomials

Published on 14 Apr 2026 - 10:34

173

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Closed form for solution of $t_{n+1}=t_n(t_n-2)$

Published on 15 Apr 2026 - 4:31

405

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How many $n$-permutations have no substrings of the type $(j,j+1)$?

Published on 13 Apr 2026 - 12:38

1.9k

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Sum and product of linear recurrences

Published on 13 Apr 2026 - 8:55

233

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How to solve this kind of recurrence relation in closed form? $F(n) = aF(n-1) + bF(n-2) + cF(n-3) + dF(n-4)$

Published on 15 Apr 2026 - 1:07

39

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Number Theoretic Sum of three variables. Having trouble isolating two of them.

Published on 26 Mar 2026 - 1:03

436

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Recurrence involving square root

Published on 12 Apr 2026 - 21:37

1k

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Recurrence relation involving infinite sequences.

Published on 13 Apr 2026 - 15:00

102

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How can I solve this recurrence problem?

Published on 10 Apr 2026 - 3:40

86

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Summation Problems

Published on 11 Apr 2026 - 10:05

642

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Finding an explicit formula from a recursive formula.

Published on 09 Apr 2026 - 14:29

List Question

Find two linearly independent solutions of a Legendre equation about $x=0.$

How to calculate the $n$-th member of sequence $a_{n+1}=\sqrt{y+a_{n}}$

Name of the numbers defined by $T(p,q) = T(p-1,q) + T(p,q-1)$?

Does the solution to $C_n = 2C_1 C_{n-1} - C_{n-2}$ can only be solved with $A = B = \frac{1}{2}$?

A closed form for the coefficients of Chebyshev polynomials

Closed form for solution of $t_{n+1}=t_n(t_n-2)$

How many $n$-permutations have no substrings of the type $(j,j+1)$?

Sum and product of linear recurrences

How to solve this kind of recurrence relation in closed form? $F(n) = aF(n-1) + bF(n-2) + cF(n-3) + dF(n-4)$

Number Theoretic Sum of three variables. Having trouble isolating two of them.

Recurrence involving square root

Recurrence relation involving infinite sequences.

How can I solve this recurrence problem?

Summation Problems

Finding an explicit formula from a recursive formula.

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