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 A143102 #4 Mar 30 2012 17:25:29 %S A143102 1,2,3,4,6,7,3,7,9,10,5,8,12,14,15,7,12,15,29,21,22,6,18,18,21,25,27, %T A143102 28,8,14,21,26,29,33,35,36,10,18,24,31,36,39,43,45,46,9,19,27,33,40, %U A143102 45,48,52,54,55,11,20,30,38,44,51,56,59,63,65,66,13,24,33,43,51,57,64,69,72 %N A143102 Triangle read by rows, A000012 * (A143097 * 0^(n-k)) * A000012, 1<=k<=n. %C A143102 Left border = A143097: (1, 2, 4, 3, 5, 7, 6, 8,...); right border = A143101, partial sums of A143097: (1, 3, 7, 10, 15, 22, 28,...). %C A143102 Row sums = A143103: (1, 5, 17, 29, 54, 96,...). %F A143102 Triangle read by rows, A000012 * (A143097 * 0(n-k)) * A000012, 1<=k<=n; where = A000012 = an infinite lower triangular matrix with all 1's and A143097 * 0^(n-k) = an infinite lower triangular matrix with A143097 (1, 2, 4, 3, 5, 7, 6,...) in the main diagonal and the rest zeros. %e A143102 First few rows of the triangle are: %e A143102 1; %e A143102 2, 3; %e A143102 4, 6, 7; %e A143102 3, 7, 9, 10; %e A143102 5, 8, 12, 14, 15; %e A143102 7, 12, 15, 19, 21, 22; %e A143102 6, 13, 18, 21, 25, 27, 28; %e A143102 ... %Y A143102 Cf. A143097, A143101, A143103. %K A143102 nonn,tabl %O A143102 1,2 %A A143102 _Gary W. Adamson_, Jul 24 2008