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A049395
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Expansion of (1-x)^(-7/5).
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1
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1, 35, 1050, 29750, 818125, 22089375, 589050000, 15567750000, 408653437500, 10670395312500, 277430278125000, 7187966296875000, 185689129335937500, 4785066025195312500, 123044554933593750000, 3158143576628906250000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: (1-25*x)^(-7/5).
a(n) = 5^n/n! * product[ k=0..n-1 ] (5*k+7).
a(n) ~ 5/2*Gamma(2/5)^-1*n^(2/5)*5^(2*n)*{1 + 7/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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EXAMPLE
| (1-x)^(-7/5) = 1 + 7/5*x + 42/25*x^2 + 238/125*x^3 + ...
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CROSSREFS
| Cf. A049380.
Sequence in context: A014934 A115473 A002453 * A115492 A187538 A046176
Adjacent sequences: A049392 A049393 A049394 * A049396 A049397 A049398
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KEYWORD
| nonn,easy
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AUTHOR
| Joe Keane (jgk(AT)jgk.org)
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