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 A129264 #13 Jul 04 2023 10:12:19 %S A129264 1,2,1,2,1,1,3,2,1,1,3,2,1,1,1,3,2,2,1,1,1,3,2,2,1,1,1,1,4,3,2,2,1,1, %T A129264 1,1,4,3,2,2,1,1,1,1,1,4,3,2,2,2,1,1,1,1,1,4,3,2,2,2,1,1,1,1,1,1,4,3, %U A129264 3,2,2,2,1,1,1,1,1,1 %N A129264 Triangle read by rows: A000012 * A115361 as infinite lower triangular matrices. %C A129264 Triangle read by rows, A000012 * A115361; where A000012 = an infinite lower triangular matrix with all 1's: [1; 1,1; 1,1,1; ...] and A115361 = the ruler function triangle. %C A129264 The operation A000012 * A115361 takes partial sums of A115361 column terms starting from the top. [_Gary W. Adamson_, Nov 27 2009] %C A129264 Eigensequence of the triangle = A089067: (1, 3, 5, 13, 23, 51, 97, 207, ...). [_Gary W. Adamson_, Nov 27 2009] %C A129264 Row sums = A005187: (1, 3, 4, 7, 8, 10, 11, 15, ...). %C A129264 Left column = A070939 starting (1, 2, 2, 3, 3, 3, 3, 4, 4, 4, ...). %e A129264 First few rows of the triangle: %e A129264 1; %e A129264 2, 1; %e A129264 2, 1, 1; %e A129264 3, 2, 1, 1; %e A129264 3, 2, 1, 1, 1; %e A129264 3, 2, 2, 1, 1, 1; %e A129264 3, 2, 2, 1, 1, 1, 1; %e A129264 4, 3, 2, 2, 1, 1, 1, 1; %e A129264 4, 3, 2, 2, 1, 1, 1, 1, 1; %e A129264 4, 3, 2, 2, 2, 1, 1, 1, 1, 1; %e A129264 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1; %e A129264 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1; %e A129264 ... %Y A129264 Cf. A000012, A005187, A070939, A089067, A115361, A129265. %K A129264 nonn,tabl %O A129264 1,2 %A A129264 _Gary W. Adamson_, Apr 06 2007 %E A129264 Incorrect a(79) removed by _Georg Fischer_, Jul 04 2023