%I A096131
%S A096131 1,7,105,2386,71890,2695652,120907185,6312179764,375971507406,
%T A096131 25160695768715,1869031937691061,152603843369288819,
%U A096131 13584174777196666630,1309317592648179024666,135850890740575408906465
%N A096131 Sum of the terms of the n-th row of triangle pertaining to A096130.
%C A096131 The product of the terms of the n-th row is given by A034841.
%C A096131 a(n) = Sum(binomial(k*n,n): 1<=k<=n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jan 09 2005
%F A096131 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
%p A096131 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
%p A096131 seq(add((binomial(n*k,n)), k=0..n), n=1..15); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Sep 16 2007
%Y A096131 Cf. A014062, A096130, A034841, A007318.
%Y A096131 Sequence in context: A131869 A132867 A145666 this_sequence A049210 A002486 
               A145167
%Y A096131 Adjacent sequences: A096128 A096129 A096130 this_sequence A096132 A096133 
               A096134
%K A096131 nonn
%O A096131 1,2
%A A096131 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 04 2004
%E A096131 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
%E A096131 Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 06 2008 at 
               the suggestion of R. J. Mathar