1,6

Row sums = A055653: (1, 2, 3, 3, 5, 6, 7, 5,...)

Triangle read by rows, A051731 * (A114810 * 0^(n-k)); where A051731 = the inverse Mobius transform and (A114810 * 0^(n-k)) = an infinite lower triangular matrix with A114810 as the main diagonal: (1, 1, 2, 1, 4, 2, 6,...) and the rest zeros.

First few rows of the triangle =

1;

1, 1;

1, 0, 2;

1, 1, 0, 1;

1, 0, 0, 0, 4;

1, 1, 2, 0, 0, 2;

1, 0, 0, 0, 0, 0, 6;

1, 1, 0, 1, 0, 0, 0, 2;

1, 0, 2, 0, 0, 0, 0, 0, 4;

1, 1, 0, 0, 4, 0, 0, 0, 0, 4;

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10;

1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2;

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12;

1, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6;

...

Cf. A114810, A055653

Sequence in context: A090584 A128409 A133699 this_sequence A101808 A145865 A076452

Adjacent sequences: A157358 A157359 A157360 this_sequence A157362 A157363 A157364

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 28 2009