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Recursion involving Piecewise

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#recurrence-relations #recursion
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Finite sum with three binomial coefficients

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#sequences-and-series #combinatorics #summation #recurrence-relations #binomial-coefficients
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Number of $n$-digit binary numbers such that no two zeroes are consecutive

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#combinatorics #recurrence-relations
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How to get the Delannoy Number Generating Function

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#combinatorics #recurrence-relations
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Finding the polynomials (or power series) $p_n(x)$ such that $2\int x^ne^{x^2}dx = p_n(x) e^{x^2}$

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#calculus #integration #polynomials #recurrence-relations #power-series
410
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Solve the recurrence relation $a_{k+2}-6a_{k+1}+9a_k=3(2^k)+7(3^k), k\geq 0, k_0=1,k_1=4.$

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#discrete-mathematics #recurrence-relations
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How to solve recurrence $T(n) = T(n/3) + T(2n/3) +n$ using Master Theorem

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#algorithms #recurrence-relations #recursion #recursive-algorithms
76
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What's the general term of the squence $(U_n)_n$ such that $U_n+\frac{1}{U_{n-1}}=2$?

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#sequences-and-series #recurrence-relations
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Prove the existence of limit of $x_{n+1}=x_n+\frac{x_n^2}{n^2}$

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#real-analysis #limits #recurrence-relations
209
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Closed form solutions to a recursion relation

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#summation #recurrence-relations
62
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recursive function: non-recursive form possible?

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#functions #recurrence-relations #recursion
651
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Counters on a Chessboard (BMO 2010/11)

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#combinatorics #recurrence-relations #contest-math
212
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Recurrence Relations

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#recurrence-relations
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Solving recursion (Gambler's ruin)

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#stochastic-processes #recurrence-relations
48
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How to find explicit form of recurrence relation with four variables for combinatorical value

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#combinatorics #permutations #recurrence-relations #multisets

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