id:A038540 - OEIS Search Results

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Number of modules with n elements over ring Z[ sqrt(10) ].

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1, 1, 2, 2, 1, 2, 0, 3, 5, 1, 0, 4, 2, 0, 2, 5, 0, 5, 0, 2, 0, 0, 0, 6, 2, 2, 10, 0, 0, 2, 2, 7, 0, 0, 0, 10, 2, 0, 4, 3, 2, 0, 2, 0, 5, 0, 0, 10, 1, 2, 0, 4, 2, 10, 0, 0, 0, 0, 0, 4, 0, 2, 0, 11, 2, 0, 2, 0, 0, 0, 2, 15, 0, 2, 4, 0, 0, 4, 2, 5, 20, 2, 2, 0, 0, 2, 0, 0, 2, 5, 0, 0, 4, 0, 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(10, 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: A156381 A089077 A130071 this_sequence A084348 A085906 A090406` `Adjacent sequences: A038537 A038538 A038539 this_sequence A038541 A038542 A038543`
	KEYWORD	`nonn,mult`
	AUTHOR	`Paolo Dominici (pl.dm(AT)libero.it)`

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

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