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A131085 A007318 * A129686. +0
2
1, 1, 1, 0, 2, 1, -2, 2, 3, 1, -5, 0, 5, 4, 1, -9, -5, 5, 9, 5, 1, -14, -14, 0, 14, 14, 6, 1, -20, -28, -14, 14, 28, 20, 7, 1, -27, -48, -42, 0, 42, 48, 27, 8, 1, -35, -75, -90, -42, 42, 90, 75, 35, 9, 1 (list; table; graph; listen)
OFFSET

1,5

COMMENT

Row sums = n. A131085 * A000012 = A074909 starting (1, 2, 1, 3, 3,...) instead of (1, 1, 2, 1, 3, 3,...).

FORMULA

Binomial transform of A129686 signed with (1,1,1,...) in the main diagonal and (-1, -1, -1,...) in the subsubdiagonal.

EXAMPLE

First few rows of the triangle are:

1;

1, 1;

0, 2, 1;

-2, 2, 3, 1;

-5, 0, 5, 4, 1;

-9, -5, 5, 9, 5, 1;

...

CROSSREFS

Cf. A129686, A074909, A131084.

Sequence in context: A072084 A133755 A070104 this_sequence A134192 A060426 A126305

Adjacent sequences: A131082 A131083 A131084 this_sequence A131086 A131087 A131088

KEYWORD

sign,tabl,more

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 14 2007

EXTENSIONS

Missing comma corrected by Naruto Canada, Aug 26 2007

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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