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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
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: A078470 A230799 A279496 * A133912 A277231 A122934
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Jun 01 2009
STATUS
approved