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Search: id:A051582
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| A051582 |
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(2*n+8)!!/8!!, related to A000165 (even double factorials). |
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+0
2
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| 1, 10, 120, 1680, 26880, 483840, 9676800, 212889600, 5109350400, 132843110400, 3719607091200, 111588212736000, 3570822807552000, 121407975456768000, 4370687116443648000, 166086110424858624000, 6643444416994344960000
(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=8 of the array A(3; m,n) := (2*n+m)!!/m!!, m >= 0, n >= 0.
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FORMULA
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a(n) = (2*n+8)!!/8!!; e.g.f.: 1/(1-2*x)^5.
a(n)=n!*2^(n-5)/12, n>=4 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 23 2006
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MATHEMATICA
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s=1; lst={s}; Do[s+=(s*=n); AppendTo[lst, s], {n, 5, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]
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CROSSREFS
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Cf. A000165, A001147(n+1), A002866(n+1), A051577-A051581 (rows m=0..7).
Sequence in context: A005949 A027568 A034255 this_sequence A122420 A069671 A138445
Adjacent sequences: A051579 A051580 A051581 this_sequence A051583 A051584 A051585
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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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