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Search: id:A053114
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| A053114 |
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a(n) = ((8*n+9)(!^8))/9, related to A045755 ((8*n+1)(!^8) octo- or 8-factorials). |
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+0
2
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| 1, 17, 425, 14025, 575025, 28176225, 1606044825, 104392913625, 7620682694625, 617275298264625, 54937501545551625, 5328937649918507625, 559538453241443300625, 63227845216283092970625
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row m=9 of the array A(9; m,n) := ((8*n+m)(!^8))/m(!^8), m >= 0, n >= 0.
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FORMULA
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a(n) =((8*n+9)(!^8))/9(!^8) = A045755(n+2)/9; e.g.f. 1/(1-8*x)^(17/8).
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 16, 5!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A051189, A045755, A034908-12, A034975-6 (rows m=0..8).
Sequence in context: A142997 A134940 A027404 this_sequence A035022 A023150 A012117
Adjacent sequences: A053111 A053112 A053113 this_sequence A053115 A053116 A053117
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KEYWORD
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easy,nonn,new
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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