A132820 Row sums of triangle A132819.
1, 4, 16, 65, 266, 1092, 4488, 18447, 75790, 311168, 1276496, 5231954, 21425236, 87662200, 358374960, 1463921595, 5975446230, 24373220520, 99348849600, 404703270510, 1647594225420, 6703757163480
Offset: 1
Keywords
Examples
a(4) = 65 = sum of row 4 terms of triangle A132819: (1 + 18 + 36 + 10). a(4) = 65 = (1, 6, 6, 1) dot (1, 3, 6, 10) = (1 + 18 + 36 + 10).
Crossrefs
Cf. A132819.
Programs
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Maple
A001263 := proc(n,k) if n <1 or k < 1 or k > n then 0; else binomial(n-1,k-1)*binomial(n,k-1)/k ; end if; end proc: A132820 := proc(n) add( A001263(n,k)*A000217(k),k=1..n) ; end proc: # R. J. Mathar, Apr 04 2012
Formula
Narayana transform (A001263) of the triangular series. - Gary W. Adamson, Jul 29 2011