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Help with Nonlinear Recurrence Relation

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#recurrence-relations
34
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Proving that a recurrence holds for all $n$

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#recurrence-relations
63
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Find the value of $x_2$ for $x_{n+2} = {5\over 2}x_{n+1} + x_n$ to be convergent.

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#real-analysis #sequences-and-series #limits #recurrence-relations
104
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How to solve $T(n) = 2T(\lceil{\sqrt{n}\rceil}) + 1$

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#recurrence-relations
30
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Solving recurrence equation for lossy duplication

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#probability #recurrence-relations #problem-solving #combinatorics-on-words
44
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Solve this recursive relation

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#recurrence-relations
113
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How to solve linear difference equations with non-integer steps?

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#recurrence-relations #discrete-calculus
23
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Under what conditions the coupled iterate is bounded?

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#recurrence-relations
24
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$K$-dimensional generalization of identity $[a_1^{n+1},a_2^{n+1}]= (a_1+a_2) [ a_1^n,a_2^n ]-a_1a_2 [a_1^{n-1}, a_2^{n-1}]$

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#calculus #polynomials #vectors #recurrence-relations
85
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Leaving recurrence summation in terms of $k$, $\sum_{i=0}^{k-1}\frac{3^i\sqrt{\frac n{3^i}}}{\log\frac n{3^i}}$

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#summation #recurrence-relations #recursive-algorithms
225
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$5F_{n+1} = L_{n+4} − L_n.$

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#discrete-mathematics #induction #recurrence-relations #lucas-numbers
89
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Limit involving iterated function $f_a(x)=x^2+a^2$

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#limits #recurrence-relations #functional-equations #iterated-function-system
530
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Solve double recursive sequence

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#recurrence-relations
550
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Closed form for these polynomials?

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#abstract-algebra #polynomials #recurrence-relations #closed-form
30
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How to prove that a recursive function with inner summation is approximately equal to some closed-form equation?

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#summation #proof-writing #recurrence-relations #closed-form #recursive-algorithms

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