login

%I #8 Mar 26 2022 10:21:16

%S 1,2,1,4,3,1,6,5,3,1,10,9,6,3,1,12,11,9,6,3,1,18,17,14,10,6,3,1,22,21,

%T 18,14,10,6,3,1,28,27,24,20,15,10,6,3,1,32,31,29,25,20,15,10,6,3,1

%N A134542 * A000012.

%C Row sums = A015631: (1, 3, 8, 15, 29, 42, ...).

%C Left border = A002088: (1, 2, 4, 6, 10, 12, 18, 22, ...).

%C Conjecture: row terms starting from the right tend to the triangular series.

%F A134542 * A000012 as infinite lower triangular matrices. Triangle read by rows, partial sums of A134542 terms starting from the right.

%e First few rows of the triangle:

%e 1;

%e 2, 1;

%e 4, 3, 1;

%e 6, 5, 3, 1;

%e 10, 9, 6, 3, 1;

%e 12, 11, 9, 6, 3, 1;

%e 18, 17, 14, 10, 6, 3, 1;

%e 22, 21, 18, 14, 10, 6, 3, 1;

%e 28, 27, 24, 20, 15, 10, 6, 3, 1;

%e ...

%Y Cf. A134542, A002088, A015631.

%K nonn,tabl,more

%O 1,2

%A _Gary W. Adamson_, Oct 31 2007