Question

Closed form for $ \sum_{l=0}^{2m} \binom{2m+n-1}{2m-l}x^l $

score 104 · Answer 1 · 2026-04-12 11:08:53

104

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Closed form for $ \sum_{l=0}^{2m} \binom{2m+n-1}{2m-l}x^l $

Published on 12 Apr 2026 - 11:08

score 2.3k · Answer 2 · 2017-06-28 21:49:01

2.3k

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Use a generating function to count the number of combinations with limited repetition

Published on 28 Jun 2017 - 21:49

score 43 · Answer 3 · 2017-06-29 17:26:55

43

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Use a generating function to count the number of combinations of two quarters, five dimes, and ten nickels that have total value of $75$¢ and $\$1.00$

Published on 29 Jun 2017 - 17:26

score 608 · Answer 4 · 2017-06-29 20:32:55

608

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Fitting subgroup is abelian and has complement if the mother group is Frattini free

Published on 29 Jun 2017 - 20:32

score 413 · Answer 5 · 2017-06-30 17:29:39

413

Views

Sequence that $U(s)=\sqrt{1-4pqs^2}$ Generates

Published on 30 Jun 2017 - 17:29

score 235 · Answer 6 · 2026-04-09 16:59:03

235

Views

Use a generating function to find the number of multisets of balls

Published on 09 Apr 2026 - 16:59

score 71 · Answer 7 · 2026-04-11 13:30:06

71

Views

Finding the correct exponential generating function for word counting problem

Published on 11 Apr 2026 - 13:30

score 1.2k · Answer 8 · 2026-04-08 20:35:37

1.2k

Views

Integration of generating function

Published on 08 Apr 2026 - 20:35

score 103 · Answer 9 · 2017-07-03 08:56:07

103

Views

Closed form for solution of $f(n) = an + b\sum\limits_{k=0}^{n-1}f(k)$

Published on 03 Jul 2017 - 8:56

score 53 · Answer 10 · 2017-07-08 19:18:19

53

Views

Density function of generation function $M_X(t)=\frac12(1+e^t)$

Published on 08 Jul 2017 - 19:18

score 443 · Answer 11 · 2026-04-12 22:46:43

443

Views

conjectured continued fraction related to certain polynomials

Published on 12 Apr 2026 - 22:46

score 45 · Answer 12 · 2026-03-25 02:59:40

45

Views

Changes in generating function expansion corresponding to changes of GF

Published on 25 Mar 2026 - 2:59

score 595 · Answer 13 · 2026-04-11 14:51:39

595

Views

Finding the coefficients of the reciprocal of a function using Cauchy Product

Published on 11 Apr 2026 - 14:51

score 38 · Answer 14 · 2026-04-12 09:57:22

38

Views

What is the broadest set of generating functions with guaranteed direct solutions for their coefficients?

Published on 12 Apr 2026 - 9:57

score 269 · Answer 15 · 2026-04-09 13:39:28

269

Views

Finding the first three coefficients of the reciprocal of a function using Cauchy Product

Published on 09 Apr 2026 - 13:39

List Question

Closed form for $ \sum_{l=0}^{2m} \binom{2m+n-1}{2m-l}x^l $

Use a generating function to count the number of combinations with limited repetition

Use a generating function to count the number of combinations of two quarters, five dimes, and ten nickels that have total value of $75$¢ and $\$1.00$

Fitting subgroup is abelian and has complement if the mother group is Frattini free

Sequence that $U(s)=\sqrt{1-4pqs^2}$ Generates

Use a generating function to find the number of multisets of balls

Finding the correct exponential generating function for word counting problem

Integration of generating function

Closed form for solution of $f(n) = an + b\sum\limits_{k=0}^{n-1}f(k)$

Density function of generation function $M_X(t)=\frac12(1+e^t)$

conjectured continued fraction related to certain polynomials

Changes in generating function expansion corresponding to changes of GF

Finding the coefficients of the reciprocal of a function using Cauchy Product

What is the broadest set of generating functions with guaranteed direct solutions for their coefficients?

Finding the first three coefficients of the reciprocal of a function using Cauchy Product

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