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A049394
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Expansion of (1-25*x)^(-6/5).
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0
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1, 30, 825, 22000, 577500, 15015000, 387887500, 9974250000, 255590156250, 6531748437500, 166559585156250, 4239698531250000, 107759004335937500, 2735420879296875000, 69362458010742187500, 1757182269605468750000
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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)^(-6/5).
a(n) = (5^n/n!) * Product_{k=0..n-1} (5*k+6).
a(n) ~ 5*Gamma(1/5)^-1*n^(1/5)*5^(2*n)*{1 + 3/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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EXAMPLE
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(1-x)^(-6/5) = 1 + 6/5*x + 33/25*x^2 + 176/125*x^3 + ...
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MATHEMATICA
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CoefficientList[Series[(1-25*x)^(-6/5), {x, 0, 15}], x] (* Georg Fischer, 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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