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 A133599 #7 Mar 23 2022 01:04:59 %S A133599 1,3,1,3,3,1,3,7,5,1,3,9,10,5,1,3,13,22,18,7,1,3,15,31,34,21,7,1,3,19, %T A133599 51,75,65,33,9,1,3,21,64,111,120,83,36,9,1,3,25,92,196,266,238,140,52, %U A133599 11,1 %N A133599 A097806 * A133080 * A007318. %C A133599 Row sums = A133600: (1, 4, 7, 16, 28, 64, 112, ...). %F A133599 A097806 * A133080 * A007318 as infinite lower triangular matrices, where A097806 = the pairwise operator and A133080 = an interpolation operator. %e A133599 First few rows of the triangle: %e A133599 1; %e A133599 3, 1; %e A133599 3, 3, 1; %e A133599 3, 7, 5, 1; %e A133599 3, 9, 10, 5, 1; %e A133599 3, 13, 22, 18, 7, 1; %e A133599 ... %p A133599 A133599aux := proc(n,k) %p A133599 add(A097806(n,j)*A133080(j,k),j=k..n) ; %p A133599 end proc: %p A133599 A133599 := proc(n,k) %p A133599 add(A133599aux(n,j)*binomial(j-1,k-1),j=k..n) ; %p A133599 end proc: # _R. J. Mathar_, Jun 20 2015 %Y A133599 Cf. A097806, A133080, A133600. %K A133599 nonn,tabl %O A133599 1,2 %A A133599 _Gary W. Adamson_, Sep 18 2007