This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A132820 #7 Apr 04 2012 16:49:32 %S A132820 1,4,16,65,266,1092,4488,18447,75790,311168,1276496,5231954,21425236, %T A132820 87662200,358374960,1463921595,5975446230,24373220520,99348849600, %U A132820 404703270510,1647594225420,6703757163480 %N A132820 Row sums of triangle A132819. %F A132820 Narayana transform (A001263) of the triangular series. - _Gary W. Adamson_, Jul 29 2011 %e A132820 a(4) = 65 = sum of row 4 terms of triangle A132819: (1 + 18 + 36 + 10). %e A132820 a(4) = 65 = (1, 6, 6, 1) dot (1, 3, 6, 10) = (1 + 18 + 36 + 10). %p A132820 A001263 := proc(n,k) %p A132820 if n <1 or k < 1 or k > n then %p A132820 0; %p A132820 else %p A132820 binomial(n-1,k-1)*binomial(n,k-1)/k ; %p A132820 end if; %p A132820 end proc: %p A132820 A132820 := proc(n) %p A132820 add( A001263(n,k)*A000217(k),k=1..n) ; %p A132820 end proc: # _R. J. Mathar_, Apr 04 2012 %Y A132820 Cf. A132819. %K A132820 nonn %O A132820 1,2 %A A132820 _Gary W. Adamson_, Sep 02 2007