Question

Give an argument using generating functions

score 47 · Answer 1 · 2026-03-27 13:45:31

47

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Give an argument using generating functions

Published on 27 Mar 2026 - 13:45

score 121 · Answer 2 · 2026-03-27 15:18:00

121

Views

Generating function for partition n with no part occurring once, and no part occurring 3 times.

Published on 27 Mar 2026 - 15:18

score 827 · Answer 3 · 2020-04-05 05:34:43

827

Views

How many ways can 5 days are chosen from each of 12 months of an ordinary year of 365 days.

Published on 05 Apr 2020 - 5:34

score 113 · Answer 4 · 2020-04-06 13:16:39

113

Views

Exponential generating function for making password.

Published on 06 Apr 2020 - 13:16

score 40 · Answer 5 · 2020-04-07 13:51:04

40

Views

Find Probability- generating function of $Z = Y -1$ where $Y \sim{\rm Geo}(p)$

Published on 07 Apr 2020 - 13:51

score 1.6k · Answer 6 · 2020-04-07 22:02:28

1.6k

Views

Is there a generating function for any finite sequence of random numbers?

Published on 07 Apr 2020 - 22:02

score 113 · Answer 7 · 2020-04-08 00:35:40

113

Views

Finding a closed form for $\sum_{k=0}^n (k^3-k-3)$ using generating functions

Published on 08 Apr 2020 - 0:35

score 322 · Answer 8 · 2020-04-08 05:17:52

322

Views

What is the sum of the coefficients of the generating function for Chebyshev polynomials?

Published on 08 Apr 2020 - 5:17

score 41 · Answer 9 · 2020-04-08 09:28:25

41

Views

Does this non-linear recurrence relation have a closed form solution?

Published on 08 Apr 2020 - 9:28

score 73 · Answer 10 · 2020-04-08 16:49:00

73

Views

Generating function to pick k objects from n objects under condition that $i^{th}$ object appears $i+jn$ times?

Published on 08 Apr 2020 - 16:49

score 147 · Answer 11 · 2026-03-27 16:46:12

147

Views

Generating functions for unimodal sequences

Published on 27 Mar 2026 - 16:46

score 208 · Answer 12 · 2026-03-26 06:34:58

208

Views

combinatorial proof for an identity with generating functions $\frac{1}{(1-x)^n} = \sum_{r=0}^\infty{r+n-1 \choose r}x^r$

Published on 26 Mar 2026 - 6:34

score 146 · Answer 13 · 2020-04-13 15:17:42

146

Views

Formula for the number of cycles of a given length in the complete bipartite graph $K_{m,n}$.

Published on 13 Apr 2020 - 15:17

score 44 · Answer 14 · 2020-04-14 20:32:36

44

Views

Identifying distributions

Published on 14 Apr 2020 - 20:32

score 53 · Answer 15 · 2026-03-28 15:11:58

53

Views

Number of non-planar increasing labeled trees

Published on 28 Mar 2026 - 15:11

List Question

Give an argument using generating functions

Generating function for partition n with no part occurring once, and no part occurring 3 times.

How many ways can 5 days are chosen from each of 12 months of an ordinary year of 365 days.

Exponential generating function for making password.

Find Probability- generating function of $Z = Y -1$ where $Y \sim{\rm Geo}(p)$

Is there a generating function for any finite sequence of random numbers?

Finding a closed form for $\sum_{k=0}^n (k^3-k-3)$ using generating functions

What is the sum of the coefficients of the generating function for Chebyshev polynomials?

Does this non-linear recurrence relation have a closed form solution?

Generating function to pick k objects from n objects under condition that $i^{th}$ object appears $i+jn$ times?

Generating functions for unimodal sequences

combinatorial proof for an identity with generating functions $\frac{1}{(1-x)^n} = \sum_{r=0}^\infty{r+n-1 \choose r}x^r$

Formula for the number of cycles of a given length in the complete bipartite graph $K_{m,n}$.

Identifying distributions

Number of non-planar increasing labeled trees

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