Question

Number of Non negative integer solutions of $x+2y+5z=100$

score 799 · Answer 1 · 2018-11-26 15:04:56

799

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Number of Non negative integer solutions of $x+2y+5z=100$

Published on 26 Nov 2018 - 15:04

score 713 · Answer 2 · 2026-03-26 04:28:35

713

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A Fibonacci convolution

Published on 26 Mar 2026 - 4:28

score 210 · Answer 3 · 2026-03-25 18:45:04

210

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Generating function from recurrence relation of binomial distribution

Published on 25 Mar 2026 - 18:45

score 76 · Answer 4 · 2026-03-26 04:32:15

76

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Generating function of number of assignments with constraints

Published on 26 Mar 2026 - 4:32

score 141 · Answer 5 · 2018-11-30 16:59:16

141

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Derive $\sum_{s=r}^{\infty} \binom{m}{s} \binom{s}{r}(-1)^s=0 $ using an identity $(1 + x)^ m (1 + x)^{ -(r+1)} = (1 + x)^{ m-r-1}$

Published on 30 Nov 2018 - 16:59

score 573 · Answer 6 · 2018-12-02 10:59:02

573

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Deriving mean through MGF for discrete uniform distribution

Published on 02 Dec 2018 - 10:59

score 98 · Answer 7 · 2018-12-03 00:08:35

98

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Generating Functions - Mess with coefficients

Published on 03 Dec 2018 - 0:08

score 198 · Answer 8 · 2018-12-03 15:05:13

198

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Plain simple combinatorics formula vs. using polynomials for counting the number of balls which can be picked from a given set

Published on 03 Dec 2018 - 15:05

score 50 · Answer 9 · 2018-12-06 02:15:42

50

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Recurrence relation with two variables.$(n+h_{n+1}) f(n+1,m) + f(n-1,m) + h_n f(n,m-1) + (m+1) f(n,m+1)=(1+m+(n-1)+ 2h_n) f(n,m) $

Published on 06 Dec 2018 - 2:15

score 96 · Answer 10 · 2018-12-07 18:37:58

96

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How do you find the positive integer solutions of this equation with the conditions?

Published on 07 Dec 2018 - 18:37

score 88 · Answer 11 · 2018-12-10 04:50:58

88

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Using Generating Function to calculate number of ways to select committees

Published on 10 Dec 2018 - 4:50

score 41 · Answer 12 · 2018-12-10 08:54:25

41

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Find the Recurrence relation for $q_n$ given the following condition:

Published on 10 Dec 2018 - 8:54

score 63 · Answer 13 · 2018-12-11 08:00:40

63

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Evaluate $\sum_{n=1}^N {n \choose k} $

Published on 11 Dec 2018 - 8:00

score 149 · Answer 14 · 2018-12-11 09:16:58

149

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Evaluate $\sum_{n=1}^N n {n \choose k}$ and get a closed form solution

Published on 11 Dec 2018 - 9:16

score 197 · Answer 15 · 2026-03-26 16:57:33

197

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How to solve a recurrence relation with generating functions?

Published on 26 Mar 2026 - 16:57

List Question

Number of Non negative integer solutions of $x+2y+5z=100$

A Fibonacci convolution

Generating function from recurrence relation of binomial distribution

Generating function of number of assignments with constraints

Derive $\sum_{s=r}^{\infty} \binom{m}{s} \binom{s}{r}(-1)^s=0 $ using an identity $(1 + x)^ m (1 + x)^{ -(r+1)} = (1 + x)^{ m-r-1}$

Deriving mean through MGF for discrete uniform distribution

Generating Functions - Mess with coefficients

Plain simple combinatorics formula vs. using polynomials for counting the number of balls which can be picked from a given set

Recurrence relation with two variables.$(n+h_{n+1}) f(n+1,m) + f(n-1,m) + h_n f(n,m-1) + (m+1) f(n,m+1)=(1+m+(n-1)+ 2h_n) f(n,m) $

How do you find the positive integer solutions of this equation with the conditions?

Using Generating Function to calculate number of ways to select committees

Find the Recurrence relation for $q_n$ given the following condition:

Evaluate $\sum_{n=1}^N {n \choose k} $

Evaluate $\sum_{n=1}^N n {n \choose k}$ and get a closed form solution

How to solve a recurrence relation with generating functions?

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