Question

Partitions and Truncations

score 438 · Answer 1 · 2026-03-27 23:30:03

438

Views

Partitions and Truncations

Published on 27 Mar 2026 - 23:30

score 49 · Answer 2 · 2016-11-05 23:52:09

49

Views

Finding the coefficient x^12 of a generating function

Published on 05 Nov 2016 - 23:52

score 397 · Answer 3 · 2026-03-27 07:44:00

397

Views

Evaluate sum involving stirling numbers of second kind using EGF

Published on 27 Mar 2026 - 7:44

score 2.1k · Answer 4 · 2016-11-07 05:06:28

2.1k

Views

Determine the generating function for the sequence $h_0, h_1, h_2, ...., h_n, ...,$ where $h_n$ is the number of n-combinations of S

Published on 07 Nov 2016 - 5:06

score 349 · Answer 5 · 2016-11-07 20:12:50

349

Views

Solving a recurrence by generating functions, why the subtraction in this example?

Published on 07 Nov 2016 - 20:12

score 1.5k · Answer 6 · 2026-03-27 23:35:24

1.5k

Views

$P(x)=\sum_{n=0}^{\infty} p_nx^n=1+x+2x^2+3x^3+5x^4+7x^5+11x^6+\cdots$ and $Q(x)=\sum_{n=0}^{\infty} q_nx^n.$ What is $\dfrac{Q(x)}{P(x)}$?

Published on 27 Mar 2026 - 23:35

score 890 · Answer 7 · 2026-03-31 18:26:49

890

Views

Generating function for gamma function (or factorial)

Published on 31 Mar 2026 - 18:26

score 136 · Answer 8 · 2016-11-11 22:49:41

136

Views

Generating function for $15, 66,189,420,795,\dots$

Published on 11 Nov 2016 - 22:49

score 104 · Answer 9 · 2016-11-11 23:16:56

104

Views

Generating Functions and finding a closed formula

Published on 11 Nov 2016 - 23:16

score 135 · Answer 10 · 2016-11-13 06:25:13

135

Views

How to use Generating Function to find sum of series?

Published on 13 Nov 2016 - 6:25

score 119 · Answer 11 · 2016-11-13 23:44:31

119

Views

Prove $\Pi_{k=1}^\infty(1+q^k)=\Pi_{k=1}^\infty\frac{1}{(1-q^{(2k-1)})}$ are equivalent generating series.

Published on 13 Nov 2016 - 23:44

score 728 · Answer 12 · 2026-03-26 01:09:41

728

Views

Finding a closed formula for the nth Lucas Number

Published on 26 Mar 2026 - 1:09

score 554 · Answer 13 · 2026-03-25 19:17:45

554

Views

Transform Theory Reference Request

Published on 25 Mar 2026 - 19:17

score 1.6k · Answer 14 · 2026-03-27 23:37:54

1.6k

Views

For each integer $n > 2$ determine a self-conjugate partition of $n$ that has at least two parts.

Published on 27 Mar 2026 - 23:37

score 1.4k · Answer 15 · 2016-11-15 22:41:32

Find the exponential generating function for the number of ways to distribute $r$ people into 6 different rooms with between 2 and 4 in each room.

List Question

Partitions and Truncations

Finding the coefficient x^12 of a generating function

Evaluate sum involving stirling numbers of second kind using EGF

Determine the generating function for the sequence $h_0, h_1, h_2, ...., h_n, ...,$ where $h_n$ is the number of n-combinations of S

Solving a recurrence by generating functions, why the subtraction in this example?

$P(x)=\sum_{n=0}^{\infty} p_nx^n=1+x+2x^2+3x^3+5x^4+7x^5+11x^6+\cdots$ and $Q(x)=\sum_{n=0}^{\infty} q_nx^n.$ What is $\dfrac{Q(x)}{P(x)}$?

Generating function for gamma function (or factorial)

Generating function for $15, 66,189,420,795,\dots$

Generating Functions and finding a closed formula

How to use Generating Function to find sum of series?

Prove $\Pi_{k=1}^\infty(1+q^k)=\Pi_{k=1}^\infty\frac{1}{(1-q^{(2k-1)})}$ are equivalent generating series.

Finding a closed formula for the nth Lucas Number

Transform Theory Reference Request

For each integer $n > 2$ determine a self-conjugate partition of $n$ that has at least two parts.

Find the exponential generating function for the number of ways to distribute $r$ people into 6 different rooms with between 2 and 4 in each room.

Trending Questions

Popular # Hahtags

Popular Questions