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%I #2 Mar 30 2012 18:59:13
%S 1,1,1,1,1,1,1,2,3,1,1,2,3,1,1,1,3,7,4,5,1,1,3,8,6,11,3,1,1,4,14,14,
%T 35,14,7,1,1,4,14,14,35,14,7,1,1,1,5,22,28,91,49,35,8,9,1,1,5,23,32,
%U 119,77,70,22,37,5,1
%N A triangle related to the Sierpinski related number triangle A114278.
%C Constructed as follows: Take inverse binomial transform of square array associated to A114278. Multiply by diagonal matrix with reciprocal of Gould numbers A001316 on diagonal. Transpose. The k-th column of A114278 has g.f. given by x^k*sum{j=0..k, A001316(j)*A114280(k,j)*x^j/(1-x)^(j+1)}. Row sums are A114281. Inverse has row sums 0^n (conjecture).
%e Triangle begins
%e 1;
%e 1, 1;
%e 1, 1, 1;
%e 1, 2, 3, 1;
%e 1, 2, 3, 1, 1;
%e 1, 3, 7, 4, 5, 1;
%e 1, 3, 8, 6,11, 3, 1;
%e 1, 4,14,14,35,14, 7, 1;
%e 1, 4,14,14,35,14, 7, 1, 1;
%K nonn,tabl
%O 0,8
%A _Paul Barry_, Nov 20 2005
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