id:A038541 - OEIS Search Results

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Number of modules with n elements over ring Z[ sqrt(-5) ].

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1, 1, 2, 2, 1, 2, 2, 3, 5, 1, 0, 4, 0, 2, 2, 5, 0, 5, 0, 2, 4, 0, 2, 6, 2, 0, 10, 4, 2, 2, 0, 7, 0, 0, 2, 10, 0, 0, 0, 3, 2, 4, 2, 0, 5, 2, 2, 10, 5, 2, 0, 0, 0, 10, 0, 6, 0, 2, 0, 4, 2, 0, 10, 11, 0, 0, 2, 0, 4, 2, 0, 15, 0, 0, 4, 0, 0, 0, 0, 5, 20, 2, 2, 8, 0, 2, 4, 0, 2, 5, 0, 4, 0, 2, 0, 14 (list; graph; listen)

	OFFSET	`1,3`
	REFERENCES	`P. Samuel, Theorie algebrique des nombres, Hermann Editeurs.` `D. Zagier, Zetafunktionen und quadratische Koerper, Springer-Verlag.`
	FORMULA	`Define chi(n)=0 if n=2; legendre(-5, n) if n is odd prime; chi(p1)^e1 * ... * chi(pk)^ek if n = p1^e1 * ... * pk^ek; Dirichlet g.f.: sum( a(n) / n^s, n=1..inf) = prod ( Z(ms), m=1..inf)`
	CROSSREFS	`Sequence in context: A097266 A112175 A112206 this_sequence A070215 A071457 A115034` `Adjacent sequences: A038538 A038539 A038540 this_sequence A038542 A038543 A038544`
	KEYWORD	`nonn,mult`
	AUTHOR	`Paolo Dominici (pl.dm(AT)libero.it)`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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