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A144220 Triangle read by rows, A118433 (the self-inverse triangle) * A000012^(-1). +0
1
1, 2, -1, -3, 1, 1, -4, 0, 4, -1, 5, 2, -10, 3, 1, 6, 5, -20, 5, 6, -1, -7, -9, 35, 5, -21, 5, 1, -8, -14, 56, 0, -56, 14, 8, -1, 9, 20, -84, -14, 126, -28, -36, 7, 1, 10, 27, -120, -42, 252, -42, -120, 27, 10, -1, -11, -35, 165, 90, -462, 42, 330, -75, -55, 9, 1 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = (1, 1, -1, -1, 1, 1,...).

FORMULA

A118433 * A000012^(-1), where A000012^(-1) = an infinite lower triangular matrix with 1's in the main diagonal and (-1)'s in the sub diagonal, with the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

2, -1;

3, 1, 1;

-4, 0, 4, -1

5, 2, -10, 3, 1;

6, 5, -20, 5, 6, -1;

-7, -9, 35, -5, -21, 5, 1;

-8, -14, 56, 0, -56, 14, 8, -1;

9, 20, -84, -14, 126, -28, -36, 7, 1;

10, 27, -120, -42, 252, -42, -120, 27, 10, -1;

...

CROSSREFS

A118433

Sequence in context: A065371 A006346 A088742 this_sequence A156826 A130296 A126705

Adjacent sequences: A144217 A144218 A144219 this_sequence A144221 A144222 A144223

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 14 2008

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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