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Question about the exponential generating function for $T_n=T_{n-1}+(n-1)\cdot T_{n-2}$

score 129 · Answer 1 · 2026-04-14 17:45:28

129

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Question about the exponential generating function for $T_n=T_{n-1}+(n-1)\cdot T_{n-2}$

Published on 14 Apr 2026 - 17:45

score 97 · Answer 2 · 2026-04-12 04:51:54

97

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Finding the 'closed' form of this exponential generating function

Published on 12 Apr 2026 - 4:51

score 178 · Answer 3 · 2026-04-14 05:56:17

178

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How many ways to pay $50$ using unlimited $1, 2 , 5$ coins, (1) when order matters, (2) when order does not matter.

Published on 14 Apr 2026 - 5:56

score 245 · Answer 4 · 2026-04-14 21:08:34

245

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Do falling factorial generating functions have the multiplication property?

Published on 14 Apr 2026 - 21:08

score 30 · Answer 5 · 2026-04-15 07:13:56

30

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Representation of primes as $2(2^x+n)+1$. Then, what is the generalization of n??

Published on 15 Apr 2026 - 7:13

score 36 · Answer 6 · 2026-04-11 04:05:25

36

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How to get more information about generalized binomial series

Published on 11 Apr 2026 - 4:05

score 109 · Answer 7 · 2026-04-14 04:17:17

109

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Do falling factorials form a Schauder basis for formal power series in some topology?

Published on 14 Apr 2026 - 4:17

score 76 · Answer 8 · 2026-04-09 22:27:26

76

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Most efficient way to resolve generating equations using pen and paper

Published on 09 Apr 2026 - 22:27

score 119 · Answer 9 · 2026-04-15 12:55:45

119

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What is the J-type continued fraction of the generating function of the Fibonacci numbers?

Published on 15 Apr 2026 - 12:55

score 216 · Answer 10 · 2026-04-13 02:59:00

216

Views

How to expand x² ? Is that possible?

Published on 13 Apr 2026 - 2:59

score 149 · Answer 11 · 2026-04-10 21:57:35

149

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Generating Function for Recursive Sequences (generalization to the binomial series)

Published on 10 Apr 2026 - 21:57

score 84 · Answer 12 · 2026-04-11 23:23:28

84

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Trying to find a 3-variable generating function

Published on 11 Apr 2026 - 23:23

score 85 · Answer 13 · 2026-04-09 05:01:52

85

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How many partitions of natural numbers into composite numbers are there?

Published on 09 Apr 2026 - 5:01

score 67 · Answer 14 · 2026-04-14 14:07:40

67

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How many different nonempty baskets can I make consisting of

Published on 14 Apr 2026 - 14:07

score 192 · Answer 15 · 2026-04-14 03:34:46

192

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Does the number of permutations in $S_n$ with major index equal to $k$, satisfy a degree $k$ polynomial?

Published on 14 Apr 2026 - 3:34

List Question

Question about the exponential generating function for $T_n=T_{n-1}+(n-1)\cdot T_{n-2}$

Finding the 'closed' form of this exponential generating function

How many ways to pay $50$ using unlimited $1, 2 , 5$ coins, (1) when order matters, (2) when order does not matter.

Do falling factorial generating functions have the multiplication property?

Representation of primes as $2(2^x+n)+1$. Then, what is the generalization of n??

How to get more information about generalized binomial series

Do falling factorials form a Schauder basis for formal power series in some topology?

Most efficient way to resolve generating equations using pen and paper

What is the J-type continued fraction of the generating function of the Fibonacci numbers?

How to expand x² ? Is that possible?

Generating Function for Recursive Sequences (generalization to the binomial series)

Trying to find a 3-variable generating function

How many partitions of natural numbers into composite numbers are there?

How many different nonempty baskets can I make consisting of

Does the number of permutations in $S_n$ with major index equal to $k$, satisfy a degree $k$ polynomial?

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