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A086932 Number of non-congruent solutions of x^2 + y^2 == -1 mod n. +0
2
1, 2, 4, 0, 4, 8, 8, 0, 12, 8, 12, 0, 12, 16, 16, 0, 16, 24, 20, 0, 32, 24, 24, 0, 20, 24, 36, 0, 28, 32, 32, 0, 48, 32, 32, 0, 36, 40, 48, 0, 40, 64, 44, 0, 48, 48, 48, 0, 56, 40, 64, 0, 52, 72, 48, 0, 80, 56, 60, 0, 60, 64, 96, 0, 48, 96, 68, 0, 96, 64, 72, 0, 72, 72, 80, 0, 96, 96 (list; graph; listen)
OFFSET

1,2

FORMULA

Multiplicative, with a(2^e) = 2 if e = 1 or 0 if e > 1, a(p^e) = (p-1)p^(e-1) if p == 1 (mod 4), a(p^e) = (p+1)p^(e-1) if p == 3 (mod 4). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 24 2003

CROSSREFS

Cf. A060968.

Sequence in context: A152648 A140875 A115368 this_sequence A079985 A059226 A097666

Adjacent sequences: A086929 A086930 A086931 this_sequence A086933 A086934 A086935

KEYWORD

mult,nonn

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 21 2003

EXTENSIONS

More terms from John W. Layman (layman(AT)math.vt.edu), Sep 25 2003

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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