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Choose initial values such that sequence always has integer values

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#sequences-and-series #recurrence-relations
275
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Finding the explicit formula of linear homogeneous recurrence relations.

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#recurrence-relations
517
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Substitution method for solving recurrences

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#algorithms #recurrence-relations
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$T(n) = 3T(n/3) + c$ using substitution, geometric series

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#recurrence-relations #asymptotics #geometric-series
80
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Asymptotic Estimates for a Strange Sequence

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#sequences-and-series #recurrence-relations #asymptotics
90
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Recurrence Relation solution

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#recurrence-relations #recursion
77
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Closed solution to double recursion

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#combinatorics #recurrence-relations
54
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Help fix this proof.

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#proof-verification #recurrence-relations
185
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How can I solve this recurrence relation: $a_n = 3a_{n-1} + \frac{4^n}{4}$?

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#recurrence-relations
60
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Simple closed functional form for summed recurrence relation

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#recurrence-relations #closed-form #recursion
229
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What's the time complexity of $T(n) =\sqrt{99nT(\sqrt {n})+100n}$?

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#discrete-mathematics #recurrence-relations
207
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How to solve this nonlinear difference equation $a_{n+1} = 2a_n + \frac{1}{a_n}$, $a_1 = 1$?

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#recurrence-relations
118
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Is there any way to compute these sums quickly?

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#number-theory #polynomials #algorithms #summation #recurrence-relations
365
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Number of ways 1a,1b,5 can add up to n (with this being a permutation)

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#permutations #recurrence-relations
327
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Does $a_0=0, a_1=1, a_{n+2}=2a_{n+1}-3a_n$ ever return to 1 or -1 for $n>3$?

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#number-theory #recurrence-relations #asymptotics #generating-functions

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