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A049381 Expansion of (1-25*x)^(-3/5). +0
5
1, 15, 300, 6500, 146250, 3363750, 78487500, 1850062500, 43938984375, 1049653515625, 25191684375000, 606890578125000, 14666522304687500, 355381117382812500, 8630684279296875000, 210013317462890625000 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (1-25*x)^(-3/5).

a(n) = (5^n/n!) * product[ k=0..n-1 ] (5*k+3).

a(n) ~ Gamma(3/5)^-1*n^(-2/5)*5^(2*n)*{1 - 3/25*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

EXAMPLE

(1-x)^(-3/5) = 1 + 3/5*x + 12/25*x^2 + 52/125*x^3 + ...

CROSSREFS

Cf. A049382, A049392, A049396, A049380, A049382.

Sequence in context: A160397 A144349 A009064 this_sequence A051691 A135390 A105491

Adjacent sequences: A049378 A049379 A049380 this_sequence A049382 A049383 A049384

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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