Question

Generating function of $2^{2^n}$

score 62 · Answer 1 · 2018-05-23 11:19:39

62

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Generating function of $2^{2^n}$

Published on 23 May 2018 - 11:19

score 56 · Answer 2 · 2026-03-26 13:52:16

56

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Find the big-O of the sequence $a_{0} = a_{1} = 1, a_{n} = 2a_{n - 1} - 2a_{n - 2}$

Published on 26 Mar 2026 - 13:52

score 38 · Answer 3 · 2018-05-23 19:23:29

38

Views

Find series which of generating function is $A(z) = z^{3} A(z) +1 $ and equation for n'th element of series.

Published on 23 May 2018 - 19:23

score 163 · Answer 4 · 2018-05-23 21:25:53

163

Views

Derive the generating function for the sequence $\{ p_k(n) \}$ of partition numbers?

Published on 23 May 2018 - 21:25

score 1.9k · Answer 5 · 2018-05-23 21:32:48

1.9k

Views

Find generating function of series $a_{n} = 2^{n} + 3^{n} $

Published on 23 May 2018 - 21:32

score 98 · Answer 6 · 2018-05-24 11:51:49

98

Views

Why is the representation in the ring of formal power series unique?

Published on 24 May 2018 - 11:51

score 145 · Answer 7 · 2026-03-25 10:52:59

145

Views

Why is this the generating function for the set of partition numbers?

Published on 25 Mar 2026 - 10:52

score 187 · Answer 8 · 2026-03-25 11:16:23

187

Views

Showing $ F_{n}=\sum_{k=0}^n\binom{n}{k}F_{k}(-1)^{k+1}$ without Binet's formula

Published on 25 Mar 2026 - 11:16

score 1.9k · Answer 9 · 2018-05-25 00:15:03

1.9k

Views

Generating Function for the square of a sequence

Published on 25 May 2018 - 0:15

score 937 · Answer 10 · 2026-03-24 22:21:19

937

Views

Random sum in coupon collection

Published on 24 Mar 2026 - 22:21

score 109 · Answer 11 · 2026-03-25 11:08:10

109

Views

Cominatorics (sticks and plus, generating function)

Published on 25 Mar 2026 - 11:08

score 552 · Answer 12 · 2018-05-25 20:03:23

552

Views

Solving linear homogeneous recurrence with non-constant coefficients using exponential generating function.

Published on 25 May 2018 - 20:03

score 97 · Answer 13 · 2018-05-27 13:24:54

97

Views

Need to find a sequence $ a_n $ with following properties: $ \sum_{k= 0}^{n}a_k*a_{n-k}=1 $ in context of generating Funtions

Published on 27 May 2018 - 13:24

score 44 · Answer 14 · 2018-05-27 16:41:35

44

Views

Show that $ f(x)=c*e^x$ if $f'=f$ , but f is from a ring of power series over Complex Numbers, Context: generating Functions

Published on 27 May 2018 - 16:41

score 3.1k · Answer 15 · 2018-05-27 17:08:31

3.1k

Views

Generating Function for $(4,9,16,25,36,.....)$

Published on 27 May 2018 - 17:08

List Question

Generating function of $2^{2^n}$

Find the big-O of the sequence $a_{0} = a_{1} = 1, a_{n} = 2a_{n - 1} - 2a_{n - 2}$

Find series which of generating function is $A(z) = z^{3} A(z) +1 $ and equation for n'th element of series.

Derive the generating function for the sequence $\{ p_k(n) \}$ of partition numbers?

Find generating function of series $a_{n} = 2^{n} + 3^{n} $

Why is the representation in the ring of formal power series unique?

Why is this the generating function for the set of partition numbers?

Showing $ F_{n}=\sum_{k=0}^n\binom{n}{k}F_{k}(-1)^{k+1}$ without Binet's formula

Generating Function for the square of a sequence

Random sum in coupon collection

Cominatorics (sticks and plus, generating function)

Solving linear homogeneous recurrence with non-constant coefficients using exponential generating function.

Need to find a sequence $ a_n $ with following properties: $ \sum_{k= 0}^{n}a_k*a_{n-k}=1 $ in context of generating Funtions

Show that $ f(x)=c*e^x$ if $f'=f$ , but f is from a ring of power series over Complex Numbers, Context: generating Functions

Generating Function for $(4,9,16,25,36,.....)$

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