A151683 Irregular triangle read by rows: row n (n>=0) gives binomial(wt(n+k),k), k >= 0, up to the point where the terms are all zeros (wt() = A000120()).

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 3, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 4, 1, 3, 6, 1, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 3, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 4, 1, 3, 6, 1, 4, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 4, 1, 3, 6, 1, 1, 1, 4, 3, 4, 1, 1, 1, 3

Offset

0,7

Comments

Suggested by Hagen von Eitzen's formula for A160573.

Links

Table of n, a(n) for n=0..98.

Example

The rows for n = 0 .. 36 are:
. 1, 1,
. 1, 1, 1,
. 1, 2,
. 1, 1, 1,
. 1, 2, 1, 1,
. 1, 2, 3,
. 1, 3,
. 1, 1, 1,
. 1, 2, 1, 1,
. 1, 2, 3,
. 1, 3, 1, 1,
. 1, 2, 3, 1, 1,
. 1, 3, 3, 4,
. 1, 3, 6,
. 1, 4,
. 1, 1, 1,
. 1, 2, 1, 1,
. 1, 2, 3,
. 1, 3, 1, 1,
. 1, 2, 3, 1, 1,
. 1, 3, 3, 4,
. 1, 3, 6,
. 1, 4, 1, 1,
. 1, 2, 3, 1, 1,
. 1, 3, 3, 4,
. 1, 3, 6, 1, 1,
. 1, 4, 3, 4, 1, 1,
. 1, 3, 6, 4, 5,
. 1, 4, 6, 10,
. 1, 4, 10,
. 1, 5,
. 1, 1, 1,
. 1, 2, 1, 1,
. 1, 2, 3,
. 1, 3, 1, 1,
. 1, 2, 3, 1, 1,
. 1, 3, 3, 4,
...

Crossrefs

Row sums are A160573.

Sequence in context: A078470 A230799 A279496 * A133912 A277231 A122934

Adjacent sequences: A151680 A151681 A151682 * A151684 A151685 A151686

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jun 01 2009

Status

approved