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Search: id:A094717
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| A094717 |
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a(n)=n!*sum(i+2j+3k=n, 0<=i<=n, 0<=j<=n, 0<=k<=n, 1/i!/(2j)!/(3k)!). |
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+0
3
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| 1, 1, 2, 5, 12, 36, 113, 351, 1080, 3281, 9882, 29646, 88817, 266085, 797526, 2391485, 7173360, 21520080, 64563521, 193700403, 581120892, 1743392201, 5230206126, 15690618378, 47071766561, 141215033961, 423644570442, 1270932914165
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OFFSET
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0,3
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FORMULA
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Limit n ->infty a(n)/3^n=1/6
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PROGRAM
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(PARI) a(n)=sum(i=0, n, sum(j=0, n, sum(k=0, n, if(n-i-2*j-3*k, 0, n!/(i)!/(2*j)!/(3*k)!))))
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CROSSREFS
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Cf. A094715, A024493.
Sequence in context: A055192 A108555 A032203 this_sequence A038142 A052302 A009598
Adjacent sequences: A094714 A094715 A094716 this_sequence A094718 A094719 A094720
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 23 2004
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