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Search: id:A116948
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| A116948 |
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Riordan array ((1+2x^2)/(1-x^3),x). |
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+0 1
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| 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)
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OFFSET
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0,4
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COMMENT
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Row sums are A117571. Diagonal sums are A117572. Inverse is A116949.
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FORMULA
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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)
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EXAMPLE
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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
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CROSSREFS
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Sequence in context: A024996 A134655 A077614 this_sequence A101660 A062984 A105243
Adjacent sequences: A116945 A116946 A116947 this_sequence A116949 A116950 A116951
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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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