id:A087784 - OEIS Search Results

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Number of non-congruent solutions to x^2 + y^2 + z^2 = 1 mod n.

+0
2

1, 4, 6, 24, 30, 24, 42, 96, 54, 120, 110, 144, 182, 168, 180, 384, 306, 216, 342, 720, 252, 440, 506, 576, 750, 728, 486, 1008, 870, 720, 930, 1536, 660, 1224, 1260, 1296, 1406, 1368, 1092, 2880, 1722, 1008, 1806, 2640, 1620, 2024, 2162, 2304, 2058, 3000 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n) = n^2 * (3/2 if 4\|n) * (Product_{primes p == 1 mod 4 dividing n} (1+1/p) * Product_{primes p == 3 mod 4 dividing n} (1-1/p). - Bjorn Poonen, Dec 09 2003.`
	CROSSREFS	`Cf. A087687, A060968.` `Sequence in context: A004032 A107952 A123046 this_sequence A071224 A164532 A098660` `Adjacent sequences: A087781 A087782 A087783 this_sequence A087785 A087786 A087787`
	KEYWORD	`mult,nonn`
	AUTHOR	`Yuval Dekel (dekelyuval(AT)hotmail.com), Oct 06 2003`
	EXTENSIONS	`More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jun 17 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research