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Search: id:A117445
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| A117445 |
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Periodic {0,-1,1,4,-1,4,-4,-4,1,1,-4,-4,4,-1,4,1,-1} (period 17). |
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+0 1
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| 0, -1, 1, 4, -1, 4, -4, -4, 1, 1, -4, -4, 4, -1, 4, 1, -1, 0, -1, 1, 4, -1, 4, -4, -4, 1, 1, -4, -4, 4, -1, 4, 1, -1, 0, -1, 1, 4, -1, 4, -4, -4, 1, 1, -4, -4, 4, -1, 4, 1, -1
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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G.f.: (-x+x^2+4x^3-x^4+4x^5-4x^6-4x^7+x^8+x^9-4x^10-4x^11+4x^12-x^13+4x^14+x^15-x^16)/(1-x^17); a(n)=sum{k=0..17, L(k(k^2-n)/17)}/2, where L(j/p) is the Legendre symbol of j and p.
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CROSSREFS
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Cf. A117444.
Sequence in context: A016686 A060037 A021711 this_sequence A035646 A144034 A093561
Adjacent sequences: A117442 A117443 A117444 this_sequence A117446 A117447 A117448
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 16 2006
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