A143535 Triangle read by rows, A122414 * A000012; 1<=k<=n.

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

Offset

1,16

Comments

Row sums = A008472, the sum of distinct primes dividing n: (0, 2, 3, 2, 5, 5, 7, 2, 3, 7,...). Example: a(10) = 7 = 2 + 5.

Links

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

Formula

Triangle read by rows, A122414 * A000012; 1<=k<=n. By rows, partial sums of A122414 terms starting from the right.

Example

First few rows of the triangle =
0;
1, 1;
1, 1, 1;
1, 1, 0, 0;
1, 1, 1, 1, 1;
2, 2, 1, 0, 0, 0;
1, 1, 1, 1, 1, 1, 1;
1, 1, 0, 0, 0, 0, 0, 0;
1, 1, 1, 0, 0, 0, 0, 0, 0;
2, 2, 1, 1, 1, 0, 0, 0, 0, 0;
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
...
Example: row 6 = (2, 2, 1, 0, 0, 0) = partial sums starting from the right of row 6, A122414: (0, 1, 1, 0, 0, 0).

Crossrefs

Cf. A122414, A008472.

Sequence in context: A334221 A368842 A089069 * A301366 A250100 A339627

Adjacent sequences: A143532 A143533 A143534 * A143536 A143537 A143538

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 23 2008

Status

approved