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Search: id:A051622
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| A051622 |
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(4*n+10)(!^4)/10(!^4), related to A000407 ((4*n+2)(!^4) quartic, or 4-factorials). |
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5
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| 1, 14, 252, 5544, 144144, 4324320, 147026880, 5587021440, 234654900480, 10794125422080, 539706271104000, 29144138639616000, 1690360041097728000, 104802322548059136000, 6916953288171902976000, 484186730172033208320000
(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=10 of the array A(5; m,n) := ((4*n+m)(!^4))/m(!^4), m >= 0, n >= 0.
a(n)=A001813(n+4)/120 and a(n)=A051618(n+1)/10 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 15 2008
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FORMULA
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a(n) = ((4*n+10)(!^4))/10(!^4)= A000407(n+2)/(6*10); e.g.f.: 1/(1-4*x)^(7/2).
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MAPLE
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seq(mul((n+k), k=1..n)/120, n=3..18); - 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, 13, 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-A051621 (rows m=0..9).
Sequence in context: A055477 A123774 A074815 this_sequence A113377 A159516 A005611
Adjacent sequences: A051619 A051620 A051621 this_sequence A051623 A051624 A051625
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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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