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Search: id:A117567
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| A117567 |
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Riordan array ((1+x^2)/(1-x^3),x). |
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+0
3
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| 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)
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OFFSET
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0,1
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COMMENT
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Sequence array for the sequence F(L((n+2)/3)). Row sums are A093878. Diagonal sums are A051275. Inverse is A117568.
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FORMULA
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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.
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A057078 A127245 A088150 this_sequence A117568 A093521 A167364
Adjacent sequences: A117564 A117565 A117566 this_sequence A117568 A117569 A117570
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 29 2006
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