

A263465


Values of D for which the imaginary quadratic field Q[ sqrt(D) ] is normEuclidean.


3




OFFSET

1,2


COMMENTS

Hardy & Wright's Theorem 246: "There are just five complex Euclidean quadratic fields, viz., ... ."


REFERENCES

P. M. Cohn, On the structure of the GL2 of a ring, Publ. Math. Inst. Hautes Etudes Sci., 30 (1966), 553.
G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 5th ed., Oxford Univ. Press, 1979, p. 213.


LINKS

Table of n, a(n) for n=1..5.
Bogdan Nica, The Unreasonable Slightness of E2 over Imaginary Quadratic Rings, Amer. Math. Monthly, 118 (2011), 455462.
Arseniy Sheydvasser, A Corrigendum to Unreasonable Slightness, Amer. Math. Monthly, 123 (2016), 482485.


FORMULA

a(n) = A003173(n) = A048981(6n) for n = 1, 2, 3, 4, 5.


CROSSREFS

Cf. A003173, A003174, A048981.
Sequence in context: A117733 A066236 A118203 * A064956 A110449 A229082
Adjacent sequences: A263462 A263463 A263464 * A263466 A263467 A263468


KEYWORD

nonn,fini,full


AUTHOR

Jonathan Sondow, Oct 19 2015


STATUS

approved



