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A151683 Irregular triangle read by rows: row n (n>=0) gives binomial(wt(n+k),k), k >= 0, upto the the point where the terms are all zeros (wt() = A000120()). +0
2
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; listen)
OFFSET

0,7

COMMENT

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: A030346 A030336 A078470 this_sequence A133912 A122934 A072170

Adjacent sequences: A151680 A151681 A151682 this_sequence 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 November 25 20:09 EST 2009. Contains 167514 sequences.


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