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Search: id:A045756
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| A045756 |
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E.g.f. -1+(1-9*x)^(-1/9), 9-factorial numbers. |
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+0
17
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| 1, 10, 190, 5320, 196840, 9054640, 498005200, 31872332800, 2326680294400, 190787784140800, 17361688356812800, 1736168835681280000, 189242403089259520000, 22330603564532623360000
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Index entries for sequences related to factorial numbers
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FORMULA
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a(n+1)= (9*n+1)(!^9) := product(9*k+1, k=0..n), n >= 0; E.g.f. -1+(1-9*x)^(-1/9).
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MAPLE
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restart: G(x):=-1+(1-9*x)^(-1/9): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=1..14); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 9, 2*5!, 9}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A008542.
Sequence in context: A033714 A131521 A113373 this_sequence A144772 A072387 A134633
Adjacent sequences: A045753 A045754 A045755 this_sequence A045757 A045758 A045759
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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