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Find the power series solution about $x=0$ of the differential equation $y''-y=x$.

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#ordinary-differential-equations #recurrence-relations #power-series
41
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Kernel Method for Schröder path

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#combinatorics #solution-verification #recurrence-relations #generating-functions
247
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simplify the sum of this binomial coefficients -- generalized gambler ruin problem

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#summation #recurrence-relations #binomial-coefficients #gambling
103
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Minimum Number of Expected Weighings

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#probability #discrete-mathematics #recurrence-relations #expected-value
102
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Conjectured recurrence/generating function for a binomial sum

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#combinatorics #summation #recurrence-relations #binomial-coefficients #generating-functions
127
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Solving the recurrence $T(1) = 1$, $T(n) = T(n-1) + n^2$

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#summation #recurrence-relations #closed-form #recursion #recursive-algorithms
73
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Recursive formula for alternating sequence.

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#discrete-mathematics #solution-verification #recurrence-relations #recursion
153
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Recursive finding of the number of paths in a graph.

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#discrete-mathematics #recurrence-relations #recursion
51
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Limit of $(x_n)$ such that $x_{n+1} = 0.9 x_n + 500$

Published on
#sequences-and-series #limits #recurrence-relations
113
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Counting the number of sequences under specific constraints

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#sequences-and-series #combinatorics #recurrence-relations
167
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Prove that $\lim_{n\rightarrow\infty}\frac{f(n)}{n!}=e$

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#calculus #sequences-and-series #limits #summation #recurrence-relations
24
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Diophantine just with a recurring solution $XY=a^2(ab+1)=K$ (without calculating all K divisors)

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#elementary-number-theory #recurrence-relations #diophantine-equations
51
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Recurrence and Asymptotic

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#asymptotics #recurrence-relations
66
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Number of sequences of length $n \geq 1$ with elements from set $ \{0,1,2,3,4 \} $ such that blocks of $0$s, $2$s and $4$s are of even length.

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#sequences-and-series #discrete-mathematics #recurrence-relations
49
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Properties of substitution system

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#recurrence-relations #computer-science #substitution

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