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Search: id:A125614
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| A125614 |
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(Sum of the squares of the quadratic residues of prime(n)) / prime(n). |
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+0
1
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| 3, 12, 27, 48, 46, 48, 139, 106, 229, 286, 276, 239, 469, 477, 627, 698, 574, 914, 823, 1003, 1350, 1612, 1713, 1485, 1721, 2007, 2172, 2339, 2500, 3190, 2977, 3733, 3234, 4155, 4306, 3688, 5023, 4848, 5529, 4791, 6356, 6517, 5655, 7051, 7452, 7964, 8845
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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Always an integer for primes > 5.
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REFERENCES
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D. M. Burton, Elementary Number Theory, McGraw-Hill, Sixth Edition (2007), p. 185.
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LINKS
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N. Hobson, Table of n, a(n) for n = 4..1003
N. Hobson, Home page (listed in lieu of email address)
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FORMULA
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a(n)=A125613(n)/prime(n).
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EXAMPLE
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The quadratic residues of 7=prime(4) are 1, 2 and 4. Hence a(4)=(1^2 + 2^2 + 4^2)/7=3.
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PROGRAM
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(PARI) vector(47, m, p=prime(m+3); t=1; for(i=2, (p-1)/2, t+=((i^2)%p)^2); t/p)
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CROSSREFS
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Cf. A076409, A076410, A125613-A125618.
Sequence in context: A068967 A071355 A110859 this_sequence A061936 A074630 A033428
Adjacent sequences: A125611 A125612 A125613 this_sequence A125615 A125616 A125617
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KEYWORD
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easy,nonn
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AUTHOR
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Nick Hobson Nov 30 2006
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