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A130888 Triangle read by rows, A051731(n,k) dot (1, 3, 7, 15, ...) with like numbers of terms.

%I A130888 #6 Feb 08 2022 19:14:31
%S A130888 1,1,3,1,0,7,1,3,0,15,1,0,0,0,31,1,3,7,0,0,63,1,0,0,0,0,0,127,1,3,0,
%T A130888 15,0,0,0,255
%N A130888 Triangle read by rows, A051731(n,k) dot (1, 3, 7, 15, ...) with like numbers of terms.
%C A130888 Row sums = A130887: (1, 4, 8, 19, 32, 74, 128, 274, 519, 1058, ...).
%F A130888 Triangle read by rows, dot product of each row of A051731 and the same number of terms in the series (1, 3, 7, 15, ...).
%F A130888 G.f.: Sum_{k>0} (2^k-1)*(x*y)^k/(1-x^k). - _Vladeta Jovovic_, Dec 02 2008
%e A130888 First few rows of the triangle:
%e A130888   1;
%e A130888   1,  3;
%e A130888   1,  0,  7;
%e A130888   1,  3,  0, 15;
%e A130888   1,  0,  0,  0, 31;
%e A130888   1,  3,  7,  0,  0, 63;
%e A130888   ...
%e A130888 Row 4 = (1, 3, 0, 15) = (1, 1, 0, 1) dot (1, 3, 7, 15); where (1, 1, 0, 1) = row 4 of A051731.
%Y A130888 Cf. A051731, A130887.
%K A130888 nonn,tabl
%O A130888 1,3
%A A130888 _Gary W. Adamson_, Jun 07 2007