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A176202 Convolution triangle, row sums = A000041. M = A000041 in each column with two interleaved zeros; Q = A000726 diagonalized with the rest zeros. A176202 = M*Q.

%I A176202 #2 Mar 30 2012 17:25:36
%S A176202 1,0,1,0,0,2,1,0,0,2,0,1,0,0,4,0,0,2,0,0,5,2,0,0,2,0,0,7,0,2,0,0,4,0,
%T A176202 0,9,0,0,4,0,0,5,0,0,13,3,0,0,4,0,0,7,0,0,16,0,3,0,0,8,0,0,9,0,0,22,0,
%U A176202 0,6,0,0,10,0,0,13,0,0,27
%N A176202 Convolution triangle, row sums = A000041. M = A000041 in each column with two interleaved zeros; Q = A000726 diagonalized with the rest zeros. A176202 = M*Q.
%C A176202 Row sums = A000041
%F A176202 Let M = an infinite lower triangular matrix with A000041 interleaved with two
%F A176202 zeros in each column. Q = A000726 diagonalized, with the rest zeros. A176202
%F A176202 = M*Q
%e A176202 First few rows of the triangle =
%e A176202 1;
%e A176202 0, 1;
%e A176202 0, 0, 2;
%e A176202 1, 0, 0, 2;
%e A176202 0, 1, 0, 0, 4;
%e A176202 0, 0, 2, 0, 0, 5;
%e A176202 2, 0, 0, 2, 0, 0, 7;
%e A176202 0, 2, 0, 0, 4, 0, 0, 9;
%e A176202 0, 0, 4, 0, 0, 5, 0, 0, 13;
%e A176202 3, 0, 0, 4, 0, 0, 7, 0, 0, 16;
%e A176202 0, 3, 0, 0, 8, 0, 0, 9, 0, 0, 22;
%e A176202 0, 0, 6, 0, 0, 10, 0, 0, 13, 0, 0, 27;
%e A176202 5, 0, 0, 6, 0, 0, 14, 0, 0, 16, 0, 0, 36;
%e A176202 0, 5, 0, 0, 12, 0, 0, 18, 0, 0, 22, 0, 0, 44;
%e A176202 0, 0, 10, 0, 0, 15, 0, 0, 26, 0, 0, 27, 0, 0, 57;
%e A176202 7, 0, 0, 10, 0, 0, 21, 0, 0, 32, 0, 0, 36, 0, 0, 70;
%e A176202 0, 7, 0, 0, 20, 0, 0, 27, 0, 0, 44, 0, 0, 44, 0, 0, 89;
%e A176202 0, 0, 14, 0, 0, 25, 0, 0, 39, 0, 0, 54, 0, 0, 57, 0, 0, 108;
%e A176202 11, 0, 0, 14, 0, 0, 35, 0, 0, 48, 0, 0, 72, 0, 0, 70, 0, 0, 135;
%e A176202 ...
%Y A176202 Cf. A000041, A000726, A113685, A174714
%K A176202 nonn,tabl
%O A176202 0,6
%A A176202 _Gary W. Adamson_, Apr 11 2010