A133727 - OEIS

%I #5 Mar 23 2022 01:07:10

%S 1,1,2,1,0,5,1,2,0,7,1,0,0,0,14,1,2,5,0,0,13,1,0,0,0,0,0,27,1,2,0,7,0,

%T 0,0,26,1,0,5,0,0,0,0,0,39,1,2,0,0,14,0,0,0,0,38

%N A051731 * A007438 as a diagonalized matrix.

%C Row sums = the triangular numbers: (1, 3, 6, 10, 15, ...).

%C Right diagonal = A007438.

%F Inverse Mobius transform of A007438 as a diagonalized matrix; i.e., A051731 * (1; 0,2 0,0,5; 0,0,0,7; ...) where A007438 = (1, 2, 5, 7, 14, 13, 27, ...), the Mobius transform of the triangular numbers.

%e First few rows of the triangle:

%e   1;

%e   1,  2;

%e   1,  0,  5;

%e   1,  2,  0,  7;

%e   1,  0,  0,  0, 14;

%e   1,  2,  5,  0,  0, 13;

%e   1,  0,  0,  0,  0,  0, 27;

%e   ...

%Y Cf. A007438, A051731.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Sep 21 2007