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A116948 Riordan array ((1+2x^2)/(1-x^3),x). +0
1
1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1 (list; table; graph; listen)
OFFSET

0,4

COMMENT

Row sums are A117571. Diagonal sums are A117572. Inverse is A116949.

FORMULA

Number triangle T(n,k)=2*J(L((n-k+2)/3))[k<=n] where L(j/p) is the Legendre symbol of j and p, and J(n)=A001045(n)

EXAMPLE

Triangle begins

1,

0, 1,

2, 0, 1,

1, 2, 0, 1,

0, 1, 2, 0, 1,

2, 0, 1, 2, 0, 1,

1, 2, 0, 1, 2, 0, 1,

0, 1, 2, 0, 1, 2, 0, 1,

2, 0, 1, 2, 0, 1, 2, 0, 1

CROSSREFS

Sequence in context: A024996 A134655 A077614 this_sequence A101660 A062984 A105243

Adjacent sequences: A116945 A116946 A116947 this_sequence A116949 A116950 A116951

KEYWORD

easy,nonn,tabl

AUTHOR

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

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


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