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Search: id:A051618
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| A051618 |
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(4*n+6)(!^4)/6(!^4), related to A000407 ((4*n+2)(!^4) quartic, or 4-factorials). |
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+0
3
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| 1, 10, 140, 2520, 55440, 1441440, 43243200, 1470268800, 55870214400, 2346549004800, 107941254220800, 5397062711040000, 291441386396160000, 16903600410977280000, 1048023225480591360000, 69169532881719029760000
(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=6 of the array A(5; m,n) := ((4*n+m)(!^4))/m(!^4), m >= 0, n >= 0.
a(n)=A001813 a(n+2)/12 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008
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FORMULA
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a(n) = ((4*n+6)(!^4))/6(!^4); e.g.f.: 1/(1-4*x)^(5/2).
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MAPLE
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seq(mul((n+k), k=1..n)/12, n=2..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008
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MATHEMATICA
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 9, 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), A051617-A051622(rows m=0..10).
Sequence in context: A065593 A089834 A132505 this_sequence A093470 A093471 A159327
Adjacent sequences: A051615 A051616 A051617 this_sequence A051619 A051620 A051621
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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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