Question

Find generating function expressing number of rectangles

score 301 · Answer 1 · 2013-05-11 11:15:09

301

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Find generating function expressing number of rectangles

Published on 11 May 2013 - 11:15

score 3.2k · Answer 2 · 2013-05-11 11:42:05

3.2k

Views

Find the formula of the sequence using generating functions

Published on 11 May 2013 - 11:42

score 251 · Answer 3 · 2013-05-11 23:15:59

251

Views

Combinatorics: Distributions with several constraints - potential generating sequences?

Published on 11 May 2013 - 23:15

score 117 · Answer 4 · 2026-04-08 19:38:04

117

Views

Solving recurrence equation using generating functions

Published on 08 Apr 2026 - 19:38

score 97 · Answer 5 · 2026-04-08 21:47:41

97

Views

Bank balance interest using Generating Functions

Published on 08 Apr 2026 - 21:47

score 165 · Answer 6 · 2026-04-07 03:32:58

165

Views

Closed form of a recurrence relation using generating functions

Published on 07 Apr 2026 - 3:32

score 312 · Answer 7 · 2013-05-13 18:29:56

312

Views

Generating Functions - Number of numbers with sum of digits $\leq 7$

Published on 13 May 2013 - 18:29

score 1.3k · Answer 8 · 2026-04-09 02:59:03

1.3k

Views

Moment generating function, change of variable

Published on 09 Apr 2026 - 2:59

score 396 · Answer 9 · 2013-05-14 11:03:18

396

Views

Number of numbers $ 0 \leq n \leq 10,000,000$ such that the sum of the digits is at most $34$

Published on 14 May 2013 - 11:03

score 631 · Answer 10 · 2013-05-14 16:27:07

631

Views

Building a tower using colorful blocks

Published on 14 May 2013 - 16:27

score 148 · Answer 11 · 2013-05-14 17:01:38

148

Views

Coloring the 1 x n field

Published on 14 May 2013 - 17:01

score 2.7k · Answer 12 · 2013-05-15 20:07:45

2.7k

Views

Compositions of $n$ with largest part at most $m$

Published on 15 May 2013 - 20:07

score 893 · Answer 13 · 2026-04-08 22:44:14

893

Views

Permutations of $[n]$ with $k$ peaks

Published on 08 Apr 2026 - 22:44

score 1k · Answer 14 · 2013-05-19 16:29:44

1k

Views

Using generating functions, Find a closed formula to next expression: $\sum_{k=0}^m{k(k+2)}$

Published on 19 May 2013 - 16:29

score 450 · Answer 15 · 2013-05-20 05:07:44

450

Views

How to use generating functions to prove that $n^n=\sum\limits^{n-1}_{k=0}\binom{n}{k}k^k(n-k)^{n-k-1}$

Published on 20 May 2013 - 5:07

List Question

Find generating function expressing number of rectangles

Find the formula of the sequence using generating functions

Combinatorics: Distributions with several constraints - potential generating sequences?

Solving recurrence equation using generating functions

Bank balance interest using Generating Functions

Closed form of a recurrence relation using generating functions

Generating Functions - Number of numbers with sum of digits $\leq 7$

Moment generating function, change of variable

Number of numbers $ 0 \leq n \leq 10,000,000$ such that the sum of the digits is at most $34$

Building a tower using colorful blocks

Coloring the 1 x n field

Compositions of $n$ with largest part at most $m$

Permutations of $[n]$ with $k$ peaks

Using generating functions, Find a closed formula to next expression: $\sum_{k=0}^m{k(k+2)}$

How to use generating functions to prove that $n^n=\sum\limits^{n-1}_{k=0}\binom{n}{k}k^k(n-k)^{n-k-1}$

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