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A115359 Matrix (1,x)-(x,x^2) in Riordan array notation. +0
4
1, -1, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 (list; table; graph; listen)
OFFSET

0,1

COMMENT

Row sums are 1,0,1,0,1,0... Diagonal sums are A115360. Inverse is A115361.

FORMULA

Number triangle T(n, k)=if(n=k, 1, 0) OR if(n=2k+1, -1, 0).

EXAMPLE

Triangle begins

1;

-1, 1;

0, 0, 1;

0, -1, 0, 1;

0, 0, 0, 0, 1;

0, 0, -1, 0, 0, 1;

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

0, 0, 0, -1, 0, 0, 0, 1;

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

0, 0, 0, 0, -1, 0, 0, 0, 0, 1;

CROSSREFS

Sequence in context: A143062 A074910 A115356 this_sequence A117906 A090678 A110037

Adjacent sequences: A115356 A115357 A115358 this_sequence A115360 A115361 A115362

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jan 21 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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