%I #5 Mar 23 2022 01:05:29
%S 1,1,0,1,0,1,1,0,1,1,1,0,1,1,2,1,0,1,1,2,2,1,0,1,1,2,2,4,1,0,1,1,2,2,
%T 4,4,1,0,1,1,2,2,4,4,7,1,0,1,1,2,2,4,4,7,8
%N A000012 * A002865 as a diagonalized matrix.
%C Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, ...).
%F A000012 * A002865 as a diagonalized matrix, the latter = an infinite lower triangular matrix with A002865: (1, 0, 1, 1, 2, 2, 4, 4, 7, 8, ...) as the main diagonal and the rest zeros. Triangle read by rows, n-th row = first (n+1) terms of A002865.
%e First few rows of the triangle:
%e 1;
%e 1, 0;
%e 1, 0, 1;
%e 1, 0, 1, 1;
%e 1, 0, 1, 1, 2;
%e 1, 0, 1, 1, 2, 2;
%e 1, 0, 1, 1, 2, 2, 4;
%e 1, 0, 1, 1, 2, 2, 4, 4;
%e 1, 0, 1, 1, 2, 2, 4, 4, 7;
%e ...
%Y Cf. A000041, A002865.
%K nonn,tabl
%O 0,15
%A _Gary W. Adamson_, Sep 22 2007