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%I #6 Mar 27 2022 23:29:26

%S 1,1,1,1,1,2,1,1,3,5,1,1,3,15,14,1,1,3,23,84,42,1,1,3,27,244,466,132,

%T 1,1,3,28,494,2444,2514,429,1,1,3,28,796,8720,22022,13233,1430,1,1,3,

%U 28,1094,24394,128514,181841,68376,4862

%N A000012 * A122890.

%C Row sums = A003422: (1, 2, 4, 10, 34, 154, 874, ...).

%C Main diagonal = A000108, the Catalan numbers: (1, 1, 2, 5, 14, 42, 132, ...).

%F A000012 * A122890 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 1, 1;

%e 1, 1, 2;

%e 1, 1, 3, 5;

%e 1, 1, 3, 15, 14;

%e 1, 1, 3, 23, 84, 42;

%e 1, 1, 3, 27, 244, 466, 132;

%e 1, 1, 3, 28, 494, 2444, 2514, 429;

%e ...

%Y Cf. A003422, A122890, A000108.

%K nonn,tabl

%O 0,6

%A _Gary W. Adamson_, Nov 25 2007