Question

Recursion for $p_n$ with coefficients that depend on $n$

score 50 · Answer 1 · 2026-03-30 22:33:07

50

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Recursion for $p_n$ with coefficients that depend on $n$

Published on 30 Mar 2026 - 22:33

score 121 · Answer 2 · 2016-09-12 22:28:12

121

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Finding the $n$th coefficient closed form of a function

Published on 12 Sep 2016 - 22:28

score 53 · Answer 3 · 2016-09-13 05:24:21

53

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Help on expressing generating functions in closed form...

Published on 13 Sep 2016 - 5:24

score 146 · Answer 4 · 2016-09-13 16:32:23

146

Views

Find an explicit formula for the recurrence $a_n = n(a_{n-1} + a_{n-2})$ knowing that $ a_0=1$ and $a_1=2$.

Published on 13 Sep 2016 - 16:32

score 50 · Answer 5 · 2016-09-13 16:35:26

50

Views

How many extrema does a sequence, defined by a generating function, have?

Published on 13 Sep 2016 - 16:35

score 114 · Answer 6 · 2016-09-14 16:59:53

114

Views

Use a generating function to evaluate the sum $ a_k=\sum_{j=\lceil k/2\rceil}^k {j \choose k-j}$.

Published on 14 Sep 2016 - 16:59

score 91 · Answer 7 · 2016-09-15 12:36:22

91

Views

Solve recurrence relation using EGF

Published on 15 Sep 2016 - 12:36

score 444 · Answer 8 · 2026-03-27 07:45:52

444

Views

Closed formula for the sums $\sum\limits_{1 \le i_1 < i_2 < \dots < i_k \le n} i_1 i_2 \cdots i_k $?

Published on 27 Mar 2026 - 7:45

score 70 · Answer 9 · 2016-09-16 02:18:12

70

Views

Find $[z^n]$ of a given EGF

Published on 16 Sep 2016 - 2:18

score 72 · Answer 10 · 2016-09-16 02:59:07

Find the generating function for the amount of numbers that you get from 1 by applying $f(x)=2x-1$ and $g(x)=4x+1$ that are less than $2^n$

score 75 · Answer 11 · 2026-03-27 15:08:57

75

Views

Are these two summation expressions equal to each other?

Published on 27 Mar 2026 - 15:08

score 336 · Answer 12 · 2026-03-27 02:59:33

336

Views

Relation between stationary distribution of a D/M/1 queue and extinction probability in a branching process?

Published on 27 Mar 2026 - 2:59

score 308 · Answer 13 · 2016-09-17 15:33:14

308

Views

What is the number of n node simple labeled graphs without endpoints?

Published on 17 Sep 2016 - 15:33

score 426 · Answer 14 · 2016-09-17 23:31:39

426

Views

Number of sequences of length $m$ such that $1$ is never followed immediately by $0$

Published on 17 Sep 2016 - 23:31

score 53 · Answer 15 · 2016-09-18 11:30:26

53

Views

How do I find the EGF of the sequence $a_n = s(s − 1)(s − 2). ... .(s − n + 1)$

Published on 18 Sep 2016 - 11:30

List Question

Recursion for $p_n$ with coefficients that depend on $n$

Finding the $n$th coefficient closed form of a function

Help on expressing generating functions in closed form...

Find an explicit formula for the recurrence $a_n = n(a_{n-1} + a_{n-2})$ knowing that $ a_0=1$ and $a_1=2$.

How many extrema does a sequence, defined by a generating function, have?

Use a generating function to evaluate the sum $ a_k=\sum_{j=\lceil k/2\rceil}^k {j \choose k-j}$.

Solve recurrence relation using EGF

Closed formula for the sums $\sum\limits_{1 \le i_1 < i_2 < \dots < i_k \le n} i_1 i_2 \cdots i_k $?

Find $[z^n]$ of a given EGF

Find the generating function for the amount of numbers that you get from 1 by applying $f(x)=2x-1$ and $g(x)=4x+1$ that are less than $2^n$

Are these two summation expressions equal to each other?

Relation between stationary distribution of a D/M/1 queue and extinction probability in a branching process?

What is the number of n node simple labeled graphs without endpoints?

Number of sequences of length $m$ such that $1$ is never followed immediately by $0$

How do I find the EGF of the sequence $a_n = s(s − 1)(s − 2). ... .(s − n + 1)$

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