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Problem on number of ways of writing $n$ as a sum of distinct integers vs a sum of odd integers

score 2k · Answer 1 · 2017-04-11 15:58:02

2k

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Problem on number of ways of writing $n$ as a sum of distinct integers vs a sum of odd integers

Published on 11 Apr 2017 - 15:58

score 212 · Answer 2 · 2026-04-10 19:30:02

212

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Combinatorial Identity with powers of 2

Published on 10 Apr 2026 - 19:30

score 253 · Answer 3 · 2026-04-12 04:28:48

253

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How to solve the for the exponential generating function for number of alternating permutations of length $n$

Published on 12 Apr 2026 - 4:28

score 1.1k · Answer 4 · 2026-03-27 16:47:46

1.1k

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Using generating functions to find number of possible ways to select colored balls from an urn

Published on 27 Mar 2026 - 16:47

score 377 · Answer 5 · 2026-03-30 05:25:32

377

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Coefficients of power series $\sin(x e^x)$

Published on 30 Mar 2026 - 5:25

score 686 · Answer 6 · 2026-04-09 02:13:30

686

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Express the probability-generating function in terms of moment-generating function

Published on 09 Apr 2026 - 2:13

score 36 · Answer 7 · 2026-04-11 04:41:20

36

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Generating Function question for selecting r unordered blocks.

Published on 11 Apr 2026 - 4:41

score 34 · Answer 8 · 2026-04-12 01:33:57

34

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Trying to generalize a degree-$2$ linear recurrence using generating functions

Published on 12 Apr 2026 - 1:33

score 86 · Answer 9 · 2026-04-09 02:26:49

86

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How can I finish up my generating function for second degree recurrences?

Published on 09 Apr 2026 - 2:26

score 350 · Answer 10 · 2026-03-31 05:41:21

350

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Why doesn't the generating function for Fibonacci match its characteristic polynomial?

Published on 31 Mar 2026 - 5:41

score 77 · Answer 11 · 2026-04-11 01:49:49

77

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How do I show that the closed form of a recurrence can sometimes have $n$ multipliers?

Published on 11 Apr 2026 - 1:49

score 47 · Answer 12 · 2026-04-11 14:28:55

47

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How to solve this using generating functions?

Published on 11 Apr 2026 - 14:28

score 129 · Answer 13 · 2017-04-24 00:05:35

129

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Condition for Sequence of Numbers to Have Both OGF and EGF

Published on 24 Apr 2017 - 0:05

score 362 · Answer 14 · 2017-04-25 20:19:54

362

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How do I find coefficient of $x^{10}$ in $(1+x+x^2+...+x^6)^3$

Published on 25 Apr 2017 - 20:19

score 184 · Answer 15 · 2026-03-30 03:55:01

184

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On the generating function $\sum_{n=1}^\infty\left(e^{H_n}\log\left(H_n\right)\right)x^n$, for $0<x<1$

Published on 30 Mar 2026 - 3:55

List Question

Problem on number of ways of writing $n$ as a sum of distinct integers vs a sum of odd integers

Combinatorial Identity with powers of 2

How to solve the for the exponential generating function for number of alternating permutations of length $n$

Using generating functions to find number of possible ways to select colored balls from an urn

Coefficients of power series $\sin(x e^x)$

Express the probability-generating function in terms of moment-generating function

Generating Function question for selecting r unordered blocks.

Trying to generalize a degree-$2$ linear recurrence using generating functions

How can I finish up my generating function for second degree recurrences?

Why doesn't the generating function for Fibonacci match its characteristic polynomial?

How do I show that the closed form of a recurrence can sometimes have $n$ multipliers?

How to solve this using generating functions?

Condition for Sequence of Numbers to Have Both OGF and EGF

How do I find coefficient of $x^{10}$ in $(1+x+x^2+...+x^6)^3$

On the generating function $\sum_{n=1}^\infty\left(e^{H_n}\log\left(H_n\right)\right)x^n$, for $0<x<1$

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