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 A167948 #6 Jan 22 2023 08:37:08 %S A167948 1,0,1,0,1,1,0,0,1,2,0,0,1,2,3,0,0,0,2,3,6,0,0,0,2,3,6,11,0,0,0,0,3,6, %T A167948 11,22,0,0,0,0,3,6,11,22,42,0,0,0,0,0,6,11,22,42,84,0,0,0,0,0,6,11,22, %U A167948 42,84,165,0,0,0,0,0,0,11,22,42,84,165,330 %N A167948 Triangle read by rows, A101688 * (an infinite lower triangular matrix with A002083 as the main diagonal and the rest zeros). %C A167948 Row sums = A002083(n+1): (1, 1, 2, 3, 6, 11, 22, 42, 84, 165,...). %C A167948 Sum of n-th row terms = rightmost term of next row. %C A167948 Eigensequence of triangle A101688 = A002083 starting with offset 1: (1, 1, 2, 3, 6, 11, 22, 42,...). %F A167948 Equals M * Q, where M = triangle A101688, Q = an infinite lower triangular matrix with (1, 1, 1, 2, 3, 6, 11, 22, 42,...) as the main diagonal and the rest zeros. %e A167948 First few rows of the triangle: %e A167948 1; %e A167948 0, 1; %e A167948 0, 1, 1; %e A167948 0, 0, 1, 2; %e A167948 0, 0, 1, 2, 3; %e A167948 0, 0, 0, 2, 3, 6; %e A167948 0, 0, 0, 2, 3, 6, 11; %e A167948 0, 0, 0, 0, 3, 6, 11, 22; %e A167948 0, 0, 0, 0, 3, 6, 11, 22, 42; %e A167948 0, 0, 0, 0, 0, 6, 11, 22, 42, 84; %e A167948 0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 165; %e A167948 0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330; %e A167948 0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330, 654; %e A167948 0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308; %e A167948 0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308, 2605; %e A167948 ... %Y A167948 Cf. A101688, A002083. %K A167948 nonn,tabl %O A167948 1,10 %A A167948 _Gary W. Adamson_, Nov 15 2009