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$(x\cdot\frac{d}{dx})^n$ resulting in a 3D recurrence relation

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#derivatives #recurrence-relations
660
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Prove that this particular sequence contains an infinite number of sixes

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#sequences-and-series #recurrence-relations #problem-solving
142
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Find a recurrence for the number of integer compositions of n which only have 1s and 2s as parts

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#algebra-precalculus #discrete-mathematics #recurrence-relations #integer-partitions
45
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Is this possible? - Controlled system equation

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#derivatives #recurrence-relations
178
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Determine the convergence of a sequence given by $a_n= \frac{a_{n-1} + a_{n-2}}2$

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#real-analysis #sequences-and-series #convergence-divergence #recurrence-relations
1.8k
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how to find nth term of different fibonacci series with golden ratio

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#elementary-number-theory #recurrence-relations #fibonacci-numbers
86
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May someone tell me where I went wrong when finding a closed-form solution to a recursion?

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#recurrence-relations #roots-of-unity #ceiling-and-floor-functions
229
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A sequence in which $x_n$ depends on all of $x_0, ... x_{n-1}$

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#recurrence-relations
106
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Convergence/divergence of a series: $a_1 = 2$, $a_{n+1}=\frac{5n + 1}{4n+3}a_n$

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#calculus #sequences-and-series #convergence-divergence #recurrence-relations
284
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Show that there is a unique sequence of positive integers $(a_n)$ satisfying $a_1=1,a_2=2,a_4=12,a_{n+1}a_{n-1}=a_n^2\pm 1 $

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#sequences-and-series #recurrence-relations
530
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Quadratic Map Solution

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#recurrence-relations #recursive-algorithms #quadratic-forms
3.2k
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Solve a Quadratic map

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#summation #recurrence-relations
272
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How to formalize in terms of category theory?

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#category-theory #recurrence-relations
120
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Arithmetic function

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#recurrence-relations #arithmetic-functions
741
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Recurrence relation and big-O-notation

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#asymptotics #recurrence-relations

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