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A049380 Expansion of (1-25*x)^(-2/5). +0
4
1, 10, 175, 3500, 74375, 1636250, 36815625, 841500000, 19459687500, 454059375000, 10670395312500, 252209343750000, 5989971914062500, 142837791796875000, 3417904303710937500, 82029703289062500000 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (1-25*x)^(-2/5).

a(n) = (5^n/n!) * product[ k=0..n-1 ] (5*k+2).

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

EXAMPLE

(1-x)^(-2/5) = 1 + 2/5*x + 7/25*x^2 + 28/125*x^3 + ...

CROSSREFS

Cf. A034688, A049381, A049391, A049395, A049382.

Sequence in context: A078516 A144516 A053537 this_sequence A057122 A113119 A067416

Adjacent sequences: A049377 A049378 A049379 this_sequence A049381 A049382 A049383

KEYWORD

nonn,easy

AUTHOR

Joe Keane (jgk(AT)jgk.org)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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