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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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2
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1, 10, 140, 2520, 55440, 1441440, 43243200, 1470268800, 55870214400, 2346549004800, 107941254220800, 5397062711040000, 291441386396160000, 16903600410977280000, 1048023225480591360000, 69169532881719029760000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| a(n) = ((4*n+6)(!^4))/6(!^4); e.g.f.: 1/(1-4*x)^(5/2).
a(n)= (2n+4)!/(12(n+2)!). [From Gary Detlefs (gdetlefs(AT)aol.com), Mar 06 2011]
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MAPLE
| 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
| 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]
f[n_] := (2n + 4)!/(12(n + 2)!); Array[f, 16, 0] (* Or *)
FoldList[ #2*#1 &, 1, Range[10, 66, 4]] (* RGWv *)
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CROSSREFS
| Cf. A047053, A007696(n+1), A000407, A034176(n+1), A034177(n+1), A051617-A051622(rows m=0..10).
Sequence in context: A065593 A089834 A132505 * A093470 A093471 A181162
Adjacent sequences: A051615 A051616 A051617 * A051619 A051620 A051621
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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