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Search: id:A112293
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| 1, 2, 7, 36, 253, 2278, 25059, 325768, 4886521, 83070858, 1578346303, 33145272364, 762341264373, 19058531609326, 514580353451803, 14922830250102288, 462607737753170929, 15266055345854640658, 534311937104912423031
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=sum{k=0..n, (2n-1)!!/(2k-1)!!}; a(n)=sum{k=0..n, 2^(n-k)(n-1/2)!/(k-1/2)!}; a(n)=sum{k=0..n, n!C(2n, n)2^(k-n)/(k!C(2k, k))}; a(n)=sum{k=0..n, (n+1)!*C(n)2^(k-n)/((k+1)!*C(k))}.
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MATHEMATICA
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s=1; lst={s}; Do[s+=(n*=s++)+n; AppendTo[lst, s], {n, 0, 5!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]
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CROSSREFS
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Sequence in context: A125033 A034430 A143805 this_sequence A090352 A123549 A009704
Adjacent sequences: A112290 A112291 A112292 this_sequence A112294 A112295 A112296
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Sep 01 2005
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