1,3

Right border = A063659, (1, 2, 3, 3, 5, 6, 7, 6, 8, 10,...), the Moebius transform of A001615: (1, 3, 4, 6, 6, 12, 8, 12, 12,...). Row sums = A001615. A130106 * (1, 2, 3,...) = A034676: (1, 5, 10, 17, 26, 50, 50,...). A034676^(-1) * (1,2,3...) = 1/1, 1/2, 2/3, 2/3, 4/5, 2/6, 6/7, 4/6, 6/8, 4/10,...; where the numerators = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6, 4,...); and the denominators = A063659, the right border of the triangle: (1, 2, 3, 3, 5, 6, 7, 8, 10,...).

Inverse Moebius transform of an infinite lower triangular matrix with A063659, (1, 2, 3, 3, 5, 6, 7, 6, 8, 10,...) in the main diagonal and the rest zeros.

First few rows of the triangle are:

1;

1, 2;

1, 0, 3;

1, 2, 0, 3;

1, 0, 0, 0, 5;

1, 2, 3, 0, 0, 6;

1, 0, 0, 0, 0, 0, 7,

1, 2, 0, 3, 0, 0, 0, 6;

1, 0, 3, 0, 0, 0 0, 0, 8;

...

Cf. A063659, A001615, A051731, A000010.

Sequence in context: A029312 A143256 A143151 this_sequence A127093 A141543 A146540

Adjacent sequences: A130103 A130104 A130105 this_sequence A130107 A130108 A130109

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 07 2007