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A076342 A076340(A000040(n)), real part of primes mapped as defined in A076340, A076341. +0
6
2, 4, 4, 8, 12, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 60, 60, 68, 72, 72, 80, 84, 88, 96, 100, 104, 108, 108, 112, 128, 132, 136, 140, 148, 152, 156, 164, 168, 172, 180, 180, 192, 192, 196, 200, 212, 224, 228, 228, 232, 240, 240, 252, 256, 264, 268, 272 (list; graph; listen)
OFFSET

1,1

COMMENT

By definition of the map defined in A076340, A076341: 2->(2,0) and p->((floor(p/4)+floor((p mod 4)/2))*4,2-(p mod 4)) for odd primes p.

Number of solutions to x^2 + y^2 = 1 (mod p). - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 22 2004

FORMULA

a(n)=p-(-1/p) = p+(-1)^{(p+1)/2 }, for an odd prime p. {(a/b) stands for the value of the Legendre symbol} - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 22 2004

EXAMPLE

A000040(11)=31=(32-1) -> (32,-1), therefore a(11)=32 and A070750(11)=-1.

CROSSREFS

Adjacent sequences: A076339 A076340 A076341 this_sequence A076343 A076344 A076345

Sequence in context: A027131 A055946 A130124 this_sequence A135268 A131771 A047073

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 08 2002

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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