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A131402 2*A007318 - (A046854 + A065941 - A000012). 2
1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 6, 7, 6, 1, 7, 14, 14, 7, 1, 1, 9, 20, 33, 20, 9, 11, 10, 31, 56, 56, 31, 10, 1, 1, 12, 40, 97, 111, 97, 40, 12, 1, 1, 13, 55, 142, 217, 217, 142, 55, 13, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,5

COMMENTS

Row sums = A131403: (1, 2, 5, 10, 21, 44, 93,...).

FORMULA

2*A007318 - (A046854 + A065941 - A000012) as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

1, 3, 1;

1, 4, 4, 1;

1, 6, 7, 6, 1;

1, 7, 14, 14, 7, 1;

1, 9, 20, 33, 20, 9, 1;

1, 10, 31, 56, 56, 31, 10, 1;

...

CROSSREFS

Cf. A046854, A065941, A131403.

Sequence in context: A013580 A147290 A026670 * A026626 A136482 A026648

Adjacent sequences:  A131399 A131400 A131401 * A131403 A131404 A131405

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 07 2007

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.