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Search: id:A049393
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| A049393 |
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Expansion of (1-x)^(1/5). |
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+0
3
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| 1, -5, -50, -750, -13125, -249375, -4987500, -103312500, -2195390625, -47566796875, -1046469531250, -23307730468750, -524423935546875, -11900389306640625, -272008898437500000, -6256204664062500000
(list; graph; listen)
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OFFSET
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0,2
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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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EXAMPLE
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(1-x)^(1/5) = 1 - 1/5*x - 2/25*x^2 - 6/125*x^3 - ...
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CROSSREFS
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Cf. A049382.
Sequence in context: A047736 A141316 A093146 this_sequence A047054 A052562 A113132
Adjacent sequences: A049390 A049391 A049392 this_sequence A049394 A049395 A049396
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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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