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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, 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 (list; graph; refs; listen; history; internal format)
OFFSET

0,7

COMMENTS

Suggested by Hagen von Eitzen's formula for A160573.

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: A030336 A205007 A078470 * A133912 A122934 A072170

Adjacent sequences:  A151680 A151681 A151682 * A151684 A151685 A151686

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 01 2009

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Last modified February 15 10:28 EST 2012. Contains 205763 sequences.