A168533 - OEIS

%I #3 Mar 30 2012 17:25:35

%S 1,2,1,4,1,1,7,2,1,1,13,2,1,1,1,20,4,2,1,1,1,34,4,2,1,1,1,1,51,7,2,2,

%T 1,1,1,1,78,7,4,2,1,1,1,1,1,112,13,4,2,2,2,21,1,1,167,13,4,2,2,1,1,1,

%U 1,1,1,230,20,7,4,2,2,21,1,1,1,1,1

%N Triangle read by rows, A000012 * A168532, as infinite lower triangular matrices.

%C Row sums = A026905: (1, 3, 6, 11, 18, 29, 44, 66,...)

%C Triangle A168534 = A168532 * A000012

%F Triangle read by rows, A000012 * A168532; where A000012 = an infinite lower

%F triangular matrix with all 1's. The operation takes partial sums of A168532

%F column terms.

%e First few rows of the triangle =

%e 1;

%e 2, 1;

%e 4, 1, 1;

%e 7, 2, 1, 1;

%e 13, 2, 1, 1, 1;

%e 20, 4, 2, 1, 1, 1;

%e 34, 4, 2, 1, 1, 1, 1;

%e 51, 7, 2, 2, 1, 1, 1, 1;

%e 78, 7, 4, 2, 1, 1, 1, 1, 1;

%e 112, 13, 4, 2, 2, 1, 1, 1, 1, 1;

%e 167, 13, 4, 2, 2, 1, 1, 1, 1, 1, 1;

%e 230, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1;

%e 330, 20, 7, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1;

%e 449, 34, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1;

%e 616, 34, 13, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;

%e 825, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1;

%e 1121, 51, 13, 7, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%Y Cf. A168532, A026905, A168534

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Nov 28 2009