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A168534 Triangle read by rows, A168532 * A000012; as infinite lower triangular matrices.

%I A168534 #3 Mar 30 2012 17:25:35
%S A168534 1,2,1,3,1,1,5,2,1,1,7,1,1,1,1,11,4,2,1,1,1,15,1,1,1,1,1,1,22,5,2,2,1,
%T A168534 1,1,1,30,3,3,1,1,1,1,1,1,42,8,2,2,2,1,1,1,1,1,56,1,1,1,1,1,1,1,1,1,1,
%U A168534 77,14,7,4,2,2,1,1,1,1,1,1
%N A168534 Triangle read by rows, A168532 * A000012; as infinite lower triangular matrices.
%C A168534 Row sums = A078392: (1, 3, 5, 9, 11, 20, 21,...).
%C A168534 Triangle A168533 = A000012 * A168532
%C A168534 Left border = the partition numbers, A000041 starting with offset 1.
%F A168534 Triangle read by rows, A168532 * A000012; where A000012 = an infinite lower
%F A168534 triangular matrix with all 1's. The operation takes partial row sums
%F A168534 starting from the right of each row.
%e A168534 First few rows of the triangle =
%e A168534 1;
%e A168534 2, 1;
%e A168534 3, 1, 1;
%e A168534 5, 2, 1, 1;
%e A168534 7, 1, 1, 1, 1;
%e A168534 11, 4, 2, 1, 1, 1;
%e A168534 15, 1, 1, 1, 1, 1, 1;
%e A168534 22, 5, 2, 2, 1, 1, 1, 1;
%e A168534 30, 3, 3, 1, 1, 1, 1, 1, 1;
%e A168534 42, 8, 2, 2, 2, 1, 1, 1, 1, 1;
%e A168534 56, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
%e A168534 77, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;
%e A168534 101, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
%e A168534 135, 16, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;
%e A168534 176, 9, 9, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
%e A168534 231, 22, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;
%e A168534 ...
%Y A168534 Cf. A168532, A168533, A000041, A078392
%K A168534 nonn,tabl
%O A168534 1,2
%A A168534 _Gary W. Adamson_, Nov 28 2009