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Triangle read by rows: A000012 * A177444 * the diagonalized variant of A120562.
1

%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