A141846 - OEIS

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A141846

Triangle read by rows: A051731 * A051953^(n-k) * 0^(n-k), 1 <= k <= n.

0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8

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OFFSET

1,10

COMMENTS

Row sums = A001065: (0, 1, 1, 3, 1, 6, 1, 7, 4, 8,...).

n-th row = (p-1) zeros followed by 1, iff n is prime.

For T(n,k), k divides n if k not = 0.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Triangle read by rows, A051731 * A051953^(n-k); where A051953^(n-k) = an infinite lower triangular matrix with A051953 (0, 1, 1, 2, 1, 4, 1, 4, 3, 6, 1, 8,...) in the main diagonal and the rest zeros. A051731 = inverse Mobius transform.

EXAMPLE

First few rows of the triangle =

0, 1;

0, 0, 1;

0, 1, 0, 2;

0, 0, 0, 0, 1;

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

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

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

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

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

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