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%I #12 Feb 11 2024 06:59:18
%S 1,1,1,2,2,2,5,4,4,5,14,9,8,9,14,42,23,17,17,23,42,132,65,40,34,40,65,
%T 132,429,197,105,74,74,105,197,429,1430,626,302,179,148,179,302,626,
%U 1430,4862,2056,928,481,327,327,481,928,2056,4862,16796,6918,2984,1409,808,654,808,1409,2984,6918,16796,58786,23714,9902,4393,2217,1462,1462,2217,4393,9902,23714,58786
%N Triangle formed by Pascal's rule with borders = A000108.
%C Row sums = A134635: (1, 2, 6, 18, 54, 164, ...).
%F Triangle, given right and left borders consist of the Catalan sequence, A000108; then T(n,k) = T(n-1,k) + T(n-1,k-1).
%e First few rows of the triangle:
%e 1;
%e 1, 1;
%e 2, 2, 2;
%e 5, 4, 4, 5;
%e 14, 9, 8, 9, 14;
%e 42, 23, 17, 17, 23, 42;
%e 132, 65, 40, 34, 40, 65, 132;
%e ...
%Y Cf. A000108, A134635, A222403, A222404, A222405.
%K nonn,tabl
%O 0,4
%A _Gary W. Adamson_, Nov 04 2007
%E Recomputed by _N. J. A. Sloane_, Feb 18 2013
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