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Search: id:A096131
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| A096131 |
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Sum of the terms of the n-th row of triangle pertaining to A096130. |
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+0
3
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| 1, 7, 105, 2386, 71890, 2695652, 120907185, 6312179764, 375971507406, 25160695768715, 1869031937691061, 152603843369288819, 13584174777196666630, 1309317592648179024666, 135850890740575408906465
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The product of the terms of the n-th row is given by A034841.
a(n) = Sum(binomial(k*n,n): 1<=k<=n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 09 2005
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FORMULA
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a(n) = Sum(Prod(i: n*(j-1)<=i<=n*j): 1<=j<=n) / n!. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 09 2005
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MAPLE
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A096130 := proc(n, k) binomial(k*n, n) ; end: A096131 := proc(n) local k; add( A096130(n, k), k=1..n) ; end: for n from 1 to 18 do printf("%d, ", A096131(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
seq(add((binomial(n*k, n)), k=0..n), n=1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 16 2007
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CROSSREFS
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Cf. A014062, A096130, A034841, A007318.
Sequence in context: A131869 A132867 A145666 this_sequence A049210 A002486 A145167
Adjacent sequences: A096128 A096129 A096130 this_sequence A096132 A096133 A096134
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 04 2004
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 06 2008 at the suggestion of R. J. Mathar
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