Question

Solving recurrences of form $x_{n+1} = ax_n+\frac{b}{x_n}$?

score 265 · Answer 1 · 2017-10-20 07:50:22

265

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Solving recurrences of form $x_{n+1} = ax_n+\frac{b}{x_n}$?

Published on 20 Oct 2017 - 7:50

score 406 · Answer 2 · 2026-03-26 06:21:43

406

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Number of solutions to $a + 10b + 20c = 100$ with $a,b,c$ non-negative integers

Published on 26 Mar 2026 - 6:21

score 237 · Answer 3 · 2026-03-30 13:54:44

237

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Solve by using generating functions: How many ways to collect \$3000 from 50 people, if each person gives at least \$2 and at most \$100.

Published on 30 Mar 2026 - 13:54

score 185 · Answer 4 · 2017-10-21 01:12:01

185

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Number of nonnegative integer solutions for $x_1+3x_2=100$ using Generating Functions

Published on 21 Oct 2017 - 1:12

score 322 · Answer 5 · 2026-04-11 00:37:01

322

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General technique to find partial sum formula for series such as $\sum n^3/2^n$

Published on 11 Apr 2026 - 0:37

score 113 · Answer 6 · 2026-04-12 03:37:32

113

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Generating function for $\sum_i x^i i^n$

Published on 12 Apr 2026 - 3:37

score 184 · Answer 7 · 2026-03-25 22:09:25

184

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Sampling uniformly from the language generated by a grammar

Published on 25 Mar 2026 - 22:09

score 58 · Answer 8 · 2017-10-23 05:08:35

58

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Determine the characteristic polynomial of the matrix ...

Published on 23 Oct 2017 - 5:08

score 175 · Answer 9 · 2026-04-11 14:01:01

175

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Probability Generation Function shortcut

Published on 11 Apr 2026 - 14:01

score 322 · Answer 10 · 2026-04-08 10:13:09

322

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How to check if its finite

Published on 08 Apr 2026 - 10:13

score 256 · Answer 11 · 2026-04-12 01:22:36

256

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Summation Limit Interchange for the Bessel Generating Function

Published on 12 Apr 2026 - 1:22

score 94 · Answer 12 · 2026-04-12 14:39:16

94

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Combinatorial identity with binomial coefficients

Published on 12 Apr 2026 - 14:39

score 64 · Answer 13 · 2026-04-13 07:50:54

64

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Ordinary generating function of $n\cdot 2^{n-1}$ demonstration

Published on 13 Apr 2026 - 7:50

score 2.6k · Answer 14 · 2026-04-13 11:48:44

2.6k

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Find closed form of the ordinary generating function for sequences

Published on 13 Apr 2026 - 11:48

score 656 · Answer 15 · 2026-04-09 00:25:13

656

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The generating function for the number of ways to select $n$ items of $10$ types, choosing at least one and no more than $12$ of each type

Published on 09 Apr 2026 - 0:25

List Question

Solving recurrences of form $x_{n+1} = ax_n+\frac{b}{x_n}$?

Number of solutions to $a + 10b + 20c = 100$ with $a,b,c$ non-negative integers

Solve by using generating functions: How many ways to collect \$3000 from 50 people, if each person gives at least \$2 and at most \$100.

Number of nonnegative integer solutions for $x_1+3x_2=100$ using Generating Functions

General technique to find partial sum formula for series such as $\sum n^3/2^n$

Generating function for $\sum_i x^i i^n$

Sampling uniformly from the language generated by a grammar

Determine the characteristic polynomial of the matrix ...

Probability Generation Function shortcut

How to check if its finite

Summation Limit Interchange for the Bessel Generating Function

Combinatorial identity with binomial coefficients

Ordinary generating function of $n\cdot 2^{n-1}$ demonstration

Find closed form of the ordinary generating function for sequences

The generating function for the number of ways to select $n$ items of $10$ types, choosing at least one and no more than $12$ of each type

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