Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Jun 03 2023 07:28:30
%S 1,2,0,2,1,0,3,2,0,0,3,2,1,0,0,3,3,2,0,0,0,3,3,2,2,0,0,0,3,3,3,4,0,0,
%T 0,0,3,3,3,4,1,0,0,0,0,3,3,3,6,2,0,0,0,0,0,3,3,3,6,2,2,0,0,0,0,0,3,3,
%U 3,6,3,4,0,0,0,0,0,0,3,3,3,6,3,4,2,0,0,0,0,0,0
%N Triangle read by rows: A000012 * A177444 * the diagonalized variant of A120562.
%C Row sums = A177445. Rows apparently tend to 3 * A120562 = 3 * (1, 1, 1, 2, 1, 2, 2, 3, 1, 3, ...).
%F Triangle read by rows, M*Q*R; such that M = an infinite lower triangular matrix with all 1's, Q = triangle A177444, and R = the diagonalized variant of A120562 (A120562 in the diagonal and the rest zeros).
%e First few rows of the triangle =
%e 1;
%e 2, 0;
%e 2, 1, 0;
%e 3, 2, 0, 0;
%e 3, 2, 1, 0, 0;
%e 3, 3, 2, 0, 0, 0;
%e 3, 3, 2, 2, 0, 0, 0;
%e 3, 3, 3, 4, 0, 0, 0, 0;
%e 3, 3, 3, 4, 1, 0, 0, 0, 0;
%e 3, 3, 3, 6, 2, 0, 0, 0, 0, 0;
%e 3, 3, 3, 6, 2, 2, 0, 0, 0, 0, 0;
%e 3, 3, 3, 6, 3, 4, 0, 0, 0, 0, 0, 0;
%e 3, 3, 3, 6, 3, 4, 2, 0, 0, 0, 0, 0, 0;
%e 3, 3, 3, 6, 3, 6, 4, 0, 0, 0, 0, 0, 0, 0;
%e 3, 3, 3, 6, 3, 6, 4, 3, 0, 0, 0, 0, 0, 0, 0;
%e ...
%Y Cf. A120562, A177444, A177445.
%K nonn,tabl
%O 0,2
%A _Gary W. Adamson_, May 08 2010
%E Definition corrected by _Georg Fischer_, May 31 2023