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A152538 Triangle read by rows, A027293 * (A152537 * 0^(n-k)).

%I A152538 #5 Jun 02 2025 01:14:35
%S A152538 1,1,1,2,1,1,3,2,1,2,5,3,2,2,4,7,5,3,4,4,9,11,7,5,6,8,9,18,15,11,7,10,
%T A152538 12,18,18,37,22,15,11,14,20,27,36,37,74,30,22,15,22,28,45,54,74,74,
%U A152538 148,42,30,22,30,44,63,90,111,148,148,296
%N A152538 Triangle read by rows, A027293 * (A152537 * 0^(n-k)).
%C A152538 Row sums = 2^n.
%C A152538 Right border = A152537, left border = A000041.
%F A152538 Triangle read by rows, M*Q. M = A027293 as an infinite lower triangular matrix with the partition numbers (A000041) in every column. Q = a matrix with A152537 as the main diagonal and the rest zeros.
%e A152538 First few rows of the triangle =
%e A152538 1;
%e A152538 1, 1;
%e A152538 2, 1, 1;
%e A152538 3, 2, 1, 2;
%e A152538 5, 3, 2, 2, 4;
%e A152538 7, 5, 3, 4, 4, 9;
%e A152538 11, 7, 5, 6, 8, 9, 18;
%e A152538 15, 11, 7, 10, 12, 18, 18, 37;
%e A152538 22, 15, 11, 14, 20, 27, 36, 37, 74;
%e A152538 30, 22, 15, 22, 28, 45, 54, 74, 74, 148;
%e A152538 42, 30, 22, 30, 44, 63, 90, 111, 148, 148, 296;
%e A152538 56, 42, 30, 44, 60, 99, 126, 185, 222, 296, 296, 592;
%e A152538 77, 56, 42, 60, 88, 135, 198, 259, 370, 444, 592, 592, 1183;
%e A152538 ...
%e A152538 Row 3 = (3, 2, 1, 2) = termwise products of (3, 2, 1, 1) and (1, 1, 1, 2).
%Y A152538 Cf. A152537, A027293, A000041
%K A152538 nonn,tabl
%O A152538 0,4
%A A152538 _Gary W. Adamson_, Dec 10 2008