%I #13 Jul 04 2023 10:12:19
%S 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 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 3,2,2,2,1,1,1,1,1,1
%N Triangle read by rows: A000012 * A115361 as infinite lower triangular matrices.
%C 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 The operation A000012 * A115361 takes partial sums of A115361 column terms starting from the top. [_Gary W. Adamson_, Nov 27 2009]
%C Eigensequence of the triangle = A089067: (1, 3, 5, 13, 23, 51, 97, 207, ...). [_Gary W. Adamson_, Nov 27 2009]
%C Row sums = A005187: (1, 3, 4, 7, 8, 10, 11, 15, ...).
%C Left column = A070939 starting (1, 2, 2, 3, 3, 3, 3, 4, 4, 4, ...).
%e First few rows of the triangle:
%e 1;
%e 2, 1;
%e 2, 1, 1;
%e 3, 2, 1, 1;
%e 3, 2, 1, 1, 1;
%e 3, 2, 2, 1, 1, 1;
%e 3, 2, 2, 1, 1, 1, 1;
%e 4, 3, 2, 2, 1, 1, 1, 1;
%e 4, 3, 2, 2, 1, 1, 1, 1, 1;
%e 4, 3, 2, 2, 2, 1, 1, 1, 1, 1;
%e 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1;
%e 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1;
%e ...
%Y Cf. A000012, A005187, A070939, A089067, A115361, A129265.
%K nonn,tabl
%O 1,2
%A _Gary W. Adamson_, Apr 06 2007
%E Incorrect a(79) removed by _Georg Fischer_, Jul 04 2023