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Search: id:A049394
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| A049394 |
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Expansion of (1-x)^(-6/5). |
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+0
1
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| 1, 30, 825, 22000, 577500, 15015000, 387887500, 9974250000, 255590156250, 6531748437500, 166559585156250, 4239698531250000, 107759004335937500, 2735420879296875000, 69362458010742187500, 1757182269605468750000
(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)^(-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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CROSSREFS
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Cf. A034688.
Sequence in context: A045689 A096722 A160269 this_sequence A143169 A001201 A007850
Adjacent sequences: A049391 A049392 A049393 this_sequence A049395 A049396 A049397
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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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