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A003640 Number of genera of quadratic field with discriminant -n.
(Formerly M0090)
+0
1
1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 4, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 4, 2, 1, 1, 4, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 4, 1, 2, 2, 2, 1, 4, 1, 2, 1, 2, 2, 2, 1, 1, 4, 4, 2, 2, 1, 2, 2, 2, 1, 4, 2, 4, 1, 4, 2, 1, 4, 4, 1, 2, 2, 2, 2, 2, 2, 2, 1, 4, 1, 4, 2, 2, 2, 2, 1, 2 (list; graph; listen)
OFFSET

3,6

REFERENCES

D. A. Buell, Binary Quadratic Forms. Springer-Verlag, NY, 1989, pp. 224-241.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Index entries for sequences related to quadratic fields

FORMULA

a(d) = 2^{t-1}, where t = number of distinct prime divisors of d.

CROSSREFS

Sequence in context: A160978 A055734 A095772 this_sequence A107459 A087976 A117277

Adjacent sequences: A003637 A003638 A003639 this_sequence A003641 A003642 A003643

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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