Question

Is my solution correct? Generating functions question: How many non-negative solutions does the equation $x_1+x_2+x_3+x_4+x_5+x_6=12$ have?

score 998 · Answer 1 · 2013-05-20 10:45:15

998

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Is my solution correct? Generating functions question: How many non-negative solutions does the equation $x_1+x_2+x_3+x_4+x_5+x_6=12$ have?

Published on 20 May 2013 - 10:45

score 225 · Answer 2 · 2013-05-20 18:06:10

225

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What kind of functions can be moment-generating functions for a random variable?

Published on 20 May 2013 - 18:06

score 454 · Answer 3 · 2026-04-08 20:45:29

454

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Changing the weight function of a generating function?

Published on 08 Apr 2026 - 20:45

score 533 · Answer 4 · 2013-05-21 02:45:45

533

Views

Generating function: Find a closed form of $\sum_{k=0}^n (-3)^k(k+1)$

Published on 21 May 2013 - 2:45

score 115 · Answer 5 · 2013-05-21 08:45:41

115

Views

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score 140 · Answer 6 · 2026-04-09 05:55:26

140

Views

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Published on 09 Apr 2026 - 5:55

score 276 · Answer 7 · 2013-05-21 17:39:55

276

Views

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Published on 21 May 2013 - 17:39

score 669 · Answer 8 · 2013-05-22 01:30:49

669

Views

Proving $\sum\limits_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$

Published on 22 May 2013 - 1:30

score 1.4k · Answer 9 · 2013-05-22 06:22:58

1.4k

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exponential generating functions containing an even/odd number of cycles

Published on 22 May 2013 - 6:22

score 80 · Answer 10 · 2013-05-22 10:13:35

80

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Published on 22 May 2013 - 10:13

score 215 · Answer 11 · 2026-04-09 07:34:27

215

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score 2.2k · Answer 12 · 2013-05-22 15:43:59

2.2k

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Published on 22 May 2013 - 15:43

score 143 · Answer 13 · 2026-04-09 09:05:02

143

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score 2.7k · Answer 14 · 2026-04-06 08:55:01

2.7k

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Published on 06 Apr 2026 - 8:55

score 1.1k · Answer 15 · 2026-04-09 01:13:17

1.1k

Views

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Published on 09 Apr 2026 - 1:13

List Question

Is my solution correct? Generating functions question: How many non-negative solutions does the equation $x_1+x_2+x_3+x_4+x_5+x_6=12$ have?

What kind of functions can be moment-generating functions for a random variable?

Changing the weight function of a generating function?

Generating function: Find a closed form of $\sum_{k=0}^n (-3)^k(k+1)$

Generating function question about arranging n objects with limitations

How to derive this exponential generating function?

Generating functions combinatorical problem

Proving $\sum\limits_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$

exponential generating functions containing an even/odd number of cycles

On the equality of two generating functions related to plane partitions

Interpretation of generating function infinite product

Generating functions to solve recurrence relation

Combinatorics of the Zeta function of a variety

Generating functions and the Riemann Zeta Function

Extracting the coefficient from a generating function

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