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A117567 Riordan array ((1+x^2)/(1-x^3),x). +0
3
1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 (list; table; graph; listen)
OFFSET

0,1

COMMENT

Sequence array for the sequence F(L((n+2)/3)). Row sums are A093878. Diagonal sums are A051275. Inverse is A117568.

FORMULA

Number triangle T(n,k)=F(L((n-k+2)/3))[k<=n] where L(j/p) is the Legendre symbol of j and p.

EXAMPLE

Triangle begins

1,

0, 1,

1, 0, 1,

1, 1, 0, 1,

0, 1, 1, 0, 1,

1, 0, 1, 1, 0, 1,

1, 1, 0, 1, 1, 0, 1,

0, 1, 1, 0, 1, 1, 0, 1,

1, 0, 1, 1, 0, 1, 1, 0, 1,

1, 1, 0, 1, 1, 0, 1, 1, 0, 1

CROSSREFS

Sequence in context: A057078 A127245 A088150 this_sequence A117568 A093521 A000480

Adjacent sequences: A117564 A117565 A117566 this_sequence A117568 A117569 A117570

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 29 2006

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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