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Triangle read by rows: A026794 * A054525.
0

%I #8 Apr 02 2022 10:10:29

%S 1,0,1,1,0,1,2,0,0,1,3,1,0,0,1,5,1,0,0,0,1,7,2,1,0,0,0,1,10,3,1,0,0,0,

%T 0,1,16,3,1,1,0,0,0,0,1,21,5,2,1,0,0,0,0,0,1,29,7,3,1,1,0,0,0,0,0,1,

%U 40,10,3,1,1,0,0,0,0,0,0,1,57,11,4,2,1,1,0,0,0,0,0,0,1

%N Triangle read by rows: A026794 * A054525.

%C Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, ...).

%C A137585 = A054525 * A026794.

%F A026794 * A054525, as infinite lower triangular matrices.

%F A026794 = the partition triangle, A054525 = the Mobius transform.

%e First few rows of the triangle:

%e 1;

%e 0, 1;

%e 1, 0, 1;

%e 2, 0, 0, 1;

%e 3, 1, 0, 0, 1;

%e 5, 1, 0, 0, 0, 1;

%e 7, 2, 1, 0, 0, 0, 1;

%e 10, 3, 1, 0, 0, 0, 0, 1;

%e 16, 3, 1, 1, 0, 0, 0, 0, 1;

%e ...

%Y Cf. A000041, A137585, A026794, A054525.

%K nonn,tabl

%O 1,7

%A _Gary W. Adamson_, Jan 27 2008