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A049393
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Expansion of (1-25*x)^(1/5).
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6
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1, -5, -50, -750, -13125, -249375, -4987500, -103312500, -2195390625, -47566796875, -1046469531250, -23307730468750, -524423935546875, -11900389306640625, -272008898437500000, -6256204664062500000, -144674732856445312500, -3361559969311523437500
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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)^(1/5).
a(n) = 5^n/n! * product[ k=0..n-1 ] (5*k-1).
a(n) ~ -1/5*Gamma(4/5)^-1*n^(-6/5)*5^(2*n)*{1 + 3/25*n^-1 + ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
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MAPLE
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coeftayl((1-25*x)^(1/5), x=0, n);
end proc:
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MATHEMATICA
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CoefficientList[Series[(1 - 25 x)^(1/5), {x, 0, 20}], x] (* Wesley Ivan Hurt, Jul 13 2014 *)
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PROG
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(PARI) Vec(taylor((1-25*x)^(1/5), x, 40)) \\ Michel Marcus, Jul 16 2014
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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STATUS
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approved
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