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A049395
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Expansion of (1-25*x)^(-7/5).
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2
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1, 35, 1050, 29750, 818125, 22089375, 589050000, 15567750000, 408653437500, 10670395312500, 277430278125000, 7187966296875000, 185689129335937500, 4785066025195312500, 123044554933593750000, 3158143576628906250000
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OFFSET
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0,2
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LINKS
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FORMULA
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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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MAPLE
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f:= gfun:-rectoproc({a(n) = (25+10/n)*a(n-1), a(0) = 1}, a(n), remember):
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MATHEMATICA
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CoefficientList[Series[(1-25*x)^(-7/5), {x, 0, 15}], x] (* Georg Fischer, Jan 16 2020 *)
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PROG
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(Magma) R<x>:=PowerSeriesRing(Rationals(), 16); Coefficients(R!( (1-25*x)^(-7/5) )); // Marius A. Burtea, Jan 16 2020
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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EXTENSIONS
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STATUS
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approved
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