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A144955 Binomial transform of a modified version of A026729 +0
2
1, 2, 0, 3, 1, 0, 4, 4, 1, 0, 5, 10, 6, 1, 0, 6, 20, 21, 8, 1, 0, 7, 35, 56, 36, 10, 1, 0, 8, 56, 126, 120, 55, 12, 1, 9, 84, 252, 330, 220, 78, 14, 1, 10, 120, 462, 792, 715, 364, 105, 16, 1, 11, 165, 792, 1716, 2002, 1365, 560, 136, 18, 1 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = A055588: (1, 2, 4, 9, 22, 56, 145,...).

FORMULA

Triangle A026729 is shifted one place down, with a (1, 1, 0, 0, 0...) in the first column; getting:

1;

1, 0;

0, 1, 0;

0, 1, 1, 0;

0, 0, 2, 1, 0;

0, 0, 1, 3, 1, 0;

...

A144955 = A007318 * the modified triangle.

EXAMPLE

First few rows of the triangle =

1;

2, 0;

3, 1, 0;

4, 4, 1, 0;

5, 10, 6, 1, 0;

6, 20, 21, 8, 1, 0;

7, 35, 56, 36, 10, 1, 0;

8, 56, 126, 120, 55, 12, 1, 0;

...

CROSSREFS

A026729, Cf. A055588

Sequence in context: A003988 A144257 A074650 this_sequence A002187 A124756 A113504

Adjacent sequences: A144952 A144953 A144954 this_sequence A144956 A144957 A144958

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 27 2008

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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