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%I #6 Mar 25 2022 00:36:19
%S 1,2,2,3,7,3,4,15,14,4,5,26,38,23,5,6,40,80,75,34,6,7,57,145,185,129,
%T 47,7,8,77,238,385,364,203,62,8,0,9,100,364,714,854,644,300,79,9,10,
%U 126,528,1218,1764,1680,1056,423,98,10
%N A007318 * M, where M = triangle in which row n consists of n-1 zeros followed by 2n-1, n+1.
%C Row sums = A048474: (1, 4, 13, 37, 97, 241, 577, ...).
%F Binomial transform of an infinite lower triangular matrix with rows = (n-1) zeros followed by (2n-1), (n+1). A007318 * an infinite lower triangular matrix with (1,2,3,...) in the main diagonal, (1,3,5,...) in the subdiagonal and the rest zeros.
%e First few rows of the triangle:
%e 1;
%e 2, 2;
%e 3, 7, 3;
%e 4, 15, 14, 4;
%e 5, 26, 38, 23, 5;
%e 6, 40, 80, 75, 34, 6;
%e 7, 57, 145, 185, 129, 47, 7;
%e ...
%Y Cf. A048474.
%K nonn,tabl
%O 0,2
%A _Gary W. Adamson_, Oct 14 2007
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