Question

Find a generating function for the sequence ($c_n$), where $c_r$ = $\sum_{i=0}^r i2^i$ with r $\in$ $\mathbb Z^+$

score 293 · Answer 1 · 2016-09-18 15:57:34

293

Views

Find a generating function for the sequence ($c_n$), where $c_r$ = $\sum_{i=0}^r i2^i$ with r $\in$ $\mathbb Z^+$

Published on 18 Sep 2016 - 15:57

score 1.2k · Answer 2 · 2026-03-26 01:12:39

1.2k

Views

Find the number of ways to select 2n balls from n identical blue balls, n identical red balls and n identical white balls, where n $\in$ $\mathbb N$

Published on 26 Mar 2026 - 1:12

score 1.2k · Answer 3 · 2026-03-25 20:18:25

1.2k

Views

Catalan number and Cayley distance inequality in permutation group

Published on 25 Mar 2026 - 20:18

score 683 · Answer 4 · 2016-09-20 18:39:33

683

Views

How many natural solutions to $x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 24$ if $x_1 + x_2 + x_3 > x_4 + x_5 + x_6$?

Published on 20 Sep 2016 - 18:39

score 60 · Answer 5 · 2016-09-20 23:26:12

60

Views

Finding A Particular generation function

Published on 20 Sep 2016 - 23:26

score 71 · Answer 6 · 2026-03-31 10:59:43

71

Views

Finding The General Solution to a given recurrence equation

Published on 31 Mar 2026 - 10:59

score 763 · Answer 7 · 2026-03-26 11:18:12

763

Views

$F(x)$ is a formal power series. Find $G(x)$ if $F(G(x)) = x.$

Published on 26 Mar 2026 - 11:18

score 1.1k · Answer 8 · 2026-03-25 12:30:36

1.1k

Views

Good Will Hunting Problem Reasoning

Published on 25 Mar 2026 - 12:30

score 53 · Answer 9 · 2026-03-31 13:32:01

53

Views

A recursive problem on equal food allocation

Published on 31 Mar 2026 - 13:32

score 219 · Answer 10 · 2026-03-29 12:03:58

219

Views

Combinatorial interpretation of a generating function (infinite product)

Published on 29 Mar 2026 - 12:03

score 73 · Answer 11 · 2026-03-31 13:32:02

73

Views

Solving a cumulative recurrence relation

Published on 31 Mar 2026 - 13:32

score 74 · Answer 12 · 2016-09-30 10:43:15

74

Views

Closed-form solution to a recurrence of all previous terms

Published on 30 Sep 2016 - 10:43

score 139 · Answer 13 · 2026-03-31 13:33:25

139

Views

How to solve a recurrence relation for all $k$

Published on 31 Mar 2026 - 13:33

score 22 · Answer 14 · 2016-10-02 11:03:12

22

Views

Solution of recurrences containing powers of terms

Published on 02 Oct 2016 - 11:03

score 2.9k · Answer 15 · 2016-10-02 22:25:12

2.9k

Views

Proof that $\sum_{k=0}^n {n \choose k}{k \choose m} = {n \choose m}2^{n-m}$

Published on 02 Oct 2016 - 22:25

List Question

Find a generating function for the sequence ($c_n$), where $c_r$ = $\sum_{i=0}^r i2^i$ with r $\in$ $\mathbb Z^+$

Find the number of ways to select 2n balls from n identical blue balls, n identical red balls and n identical white balls, where n $\in$ $\mathbb N$

Catalan number and Cayley distance inequality in permutation group

How many natural solutions to $x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 24$ if $x_1 + x_2 + x_3 > x_4 + x_5 + x_6$?

Finding A Particular generation function

Finding The General Solution to a given recurrence equation

$F(x)$ is a formal power series. Find $G(x)$ if $F(G(x)) = x.$

Good Will Hunting Problem Reasoning

A recursive problem on equal food allocation

Combinatorial interpretation of a generating function (infinite product)

Solving a cumulative recurrence relation

Closed-form solution to a recurrence of all previous terms

How to solve a recurrence relation for all $k$

Solution of recurrences containing powers of terms

Proof that $\sum_{k=0}^n {n \choose k}{k \choose m} = {n \choose m}2^{n-m}$

Trending Questions

Popular # Hahtags

Popular Questions