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A034688 Expansion of (1-25*x)^(-1/5), related to quintic factorial numbers A008548. +0
6
1, 5, 75, 1375, 27500, 577500, 12512500, 277062500, 6233906250, 141994531250, 3265874218750, 75708902343750, 1766541054687500, 41445770898437500, 976936028320312500, 23120819336914062500, 549119459251708984375 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = (5^n/n!)*A008548(n), n >= 1, a(0) := 1, where A008548(n)=(5*n-4)(!^5) := product(5*j-4, j=1..n).

G.f.: (1-25*x)^(-1/5).

a(n) ~ Gamma(1/5)^-1*n^(-4/5)*5^(2*n)*{1 - 2/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

CROSSREFS

Cf. A008548, A034385, A034687.

Sequence in context: A105494 A030986 A091882 this_sequence A132855 A051481 A011918

Adjacent sequences: A034685 A034686 A034687 this_sequence A034689 A034690 A034691

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified August 29 16:58 EDT 2008. Contains 143238 sequences.


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