1,6

Right border = A003238. Row sums = A003238 shifted one place to the left.

Sum of n-th row terms = rightmost term of next row. The sequence A003238: (1, 1, 2, 3, 5, 6, 10, 11,...) = the eigensequence of the inverse Mobius transform, A051731.

First few rows of the triangle =

1;

1, 1;

1, 0, 2;

1, 1, 0, 3;

1, 0, 0, 0, 5;

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

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

1, 1, 0, 3, 0, 0, 0, 11;

1, 0, 2, 0, 0, 0, 0, 0, 16;

1, 1, 0, 0, 5, 0, 0, 0, 0, 19;

...

n-th row = termwise product of A051731 terms and the first n terms of A003238: (1, 1, 2, 3, 5, 6, 10, 11,...). Example: row 6 = (1, 1, 2, 0, 0, 6) = termwise product of (1, 1, 1, 0, 0, 1) and (1, 1, 2, 3, 5, 6).

Triangle read by rows, A051731 * (A003238 * 0^(n-k)); 1<=k<=n

A051731, Cf. A003238

Sequence in context: A064577 A113949 A152434 this_sequence A128589 A130162 A133736

Adjacent sequences: A143807 A143808 A143809 this_sequence A143811 A143812 A143813

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 01 2008