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Search: id:A051617
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| A051617 |
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(4*n+5)(!^4)/5(!^4), related to A007696(n+1) ((4*n+1)(!^4) quartic, or 4-factorials). |
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+0
6
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| 1, 9, 117, 1989, 41769, 1044225, 30282525, 999323325, 36974963025, 1515973484025, 68218806781125, 3342721532275125, 177164241210581625, 10098361749003152625, 616000066689192310125, 40040004334797500158125
(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=5 of the array A(5; m,n) := ((4*n+m)(!^4))/m(!^4), m >= 0, n >= 0.
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FORMULA
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a(n) = ((4*n+5)(!^4))/5(!^4); e.g.f.: 1/(1-4*x)^(9/4).
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 8, 5!, 4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
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Cf. A047053, A007696(n+1), A000407, A034176(n+1), A034177(n+1) (rows m=0..4).
Sequence in context: A027396 A113344 A081629 this_sequence A166823 A087984 A130652
Adjacent sequences: A051614 A051615 A051616 this_sequence A051618 A051619 A051620
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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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