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A132820 Row sums of triangle A132819. 2

%I #7 Apr 04 2012 16:49:32

%S 1,4,16,65,266,1092,4488,18447,75790,311168,1276496,5231954,21425236,

%T 87662200,358374960,1463921595,5975446230,24373220520,99348849600,

%U 404703270510,1647594225420,6703757163480

%N Row sums of triangle A132819.

%F Narayana transform (A001263) of the triangular series. - _Gary W. Adamson_, Jul 29 2011

%e a(4) = 65 = sum of row 4 terms of triangle A132819: (1 + 18 + 36 + 10).

%e a(4) = 65 = (1, 6, 6, 1) dot (1, 3, 6, 10) = (1 + 18 + 36 + 10).

%p A001263 := proc(n,k)

%p if n <1 or k < 1 or k > n then

%p 0;

%p else

%p binomial(n-1,k-1)*binomial(n,k-1)/k ;

%p end if;

%p end proc:

%p A132820 := proc(n)

%p add( A001263(n,k)*A000217(k),k=1..n) ;

%p end proc: # _R. J. Mathar_, Apr 04 2012

%Y Cf. A132819.

%K nonn

%O 1,2

%A _Gary W. Adamson_, Sep 02 2007

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Last modified March 28 21:57 EDT 2024. Contains 371254 sequences. (Running on oeis4.)