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Search: id:A076410
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| A076410 |
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(Sum of the quadratic residues of prime(n)) / prime(n). |
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+0
9
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| 1, 1, 2, 3, 4, 4, 4, 7, 6, 9, 10, 10, 9, 13, 13, 15, 16, 14, 18, 17, 19, 22, 24, 25, 23, 25, 27, 28, 29, 30, 34, 33, 37, 34, 39, 40, 36, 43, 42, 45, 41, 48, 49, 45, 51, 52, 54, 57, 58, 52, 60, 59, 64, 59, 67, 62, 69, 70, 69, 73, 75, 68, 78, 79, 81, 84, 84, 87, 88, 80, 87, 93, 93
(list; graph; listen)
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OFFSET
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3,3
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COMMENT
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Always an integer for primes > 3.
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REFERENCES
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Kenneth A. Ribet, Modular forms and Diophantine questions, Challenges for the 21st century (Singapore 2000), 162-182; World Sci. Publishing, River Edge NJ 2001; Math. Rev. 2002i:11030.
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FORMULA
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A076409(n)/prime(n).
a(n) ~= p(n)/4. - David W. Wilson, Oct 09, 2002
If prime(n) = 4k+1 then a(n) = k.
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MATHEMATICA
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Table[ Apply[ Plus, Flatten[ Position[ Table[ JacobiSymbol[i, Prime[n]], {i, 1, Prime[n] - 1}], 1]]] /Prime[n], {n, 3, 50}]
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CROSSREFS
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Sequence in context: A114212 A108355 A057951 this_sequence A058277 A065852 A088807
Adjacent sequences: A076407 A076408 A076409 this_sequence A076411 A076412 A076413
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KEYWORD
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nonn
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AUTHOR
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R. K. Guy (rkg(AT)cpsc.ucalgary.ca), Oct 08 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 09 2002
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