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A133804 A007318 * A133080 * A133566. +0
2
1, 2, 1, 3, 3, 1, 4, 7, 4, 1, 5, 14, 10, 5, 1, 6, 25, 20, 16, 6, 7, 41, 35, 41, 21, 7, 8, 63, 56, 91, 56, 29, 8, 1, 9, 92, 84, 182, 126, 92, 36, 9, 1, 10, 129, 120, 336, 252, 246, 120, 46, 10, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A133124: (1, 3, 7, 16, 35, 74, 153,...). A133805 = binomial tansform of (A133566 * A133080).

FORMULA

Binomial transform of (A133080 * A133566), where A133080 * A133566 = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals, and (0,1,0,1,0,...) in the subsubdiagonal.

EXAMPLE

First few rows of the triangle are:

1;

2, 1;

3, 3, 1;

4, 7, 4, 1;

5, 14, 10, 5, 1;

6, 25, 20, 16, 6, 1;

7, 41, 35, 41, 21, 7, 1;

...

CROSSREFS

Cf. A133080, A133566, A133124.

Sequence in context: A098546 A126277 A055129 this_sequence A089944 A097351 A048600

Adjacent sequences: A133801 A133802 A133803 this_sequence A133805 A133806 A133807

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 23 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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