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Search: id:A137219
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| 1, 62, 2649, 116360, 5364701, 256452714, 12582472897, 629389744448, 31955247002601, 1641724953315062, 85159811841234857, 4452782349569991736, 234393562418967430389, 12409423916979629786322, 660253088667210584565249
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OFFSET
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1,2
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FORMULA
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a(n) = Sum(binomial(binomial(m,n),3)/2^(m+1),m=0..infinity).
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MAPLE
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A126086 := proc(n) local x, y, z ; coeftayl(coeftayl(coeftayl(1/(1-x-y-z-x*y-x*z-y*z-x*y*z), z=0, n), y=0, n), x=0, n) ; end: A001850 := proc(n) local k ; add(binomial(n, k)*binomial(n+k, k), k=0..n) ; end: A137219 := proc(n) (A126086(n)-3*A001850(n)+2)/6 ; end: seq(A137219(n), n=1..30) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 01 2008
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CROSSREFS
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Cf. A047665, A137220.
Adjacent sequences: A137216 A137217 A137218 this_sequence A137220 A137221 A137222
Sequence in context: A035726 A017725 A092709 this_sequence A065991 A042861 A056639
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 06 2008, Mar 16 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 01 2008
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