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A003649 Class number of real quadratic field Q(sqrt f), where f is the n-th square-free number A005117(n).
(Formerly M0054)
+0
2
1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 3, 4, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 4, 1, 1, 1, 1, 2, 1, 1, 3, 2, 4, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 4, 1, 2 (list; graph; listen)
OFFSET

2,6

REFERENCES

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

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 432.

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

LINKS

T. D. Noe, Table of n, a(n) for n=2..6083 (for squarefree numbers < 10000)

S. R. Finch, Class number theory

Index entries for sequences related to quadratic fields

CROSSREFS

Sequence in context: A113120 A154843 A062557 this_sequence A003650 A059233 A143898

Adjacent sequences: A003646 A003647 A003648 this_sequence A003650 A003651 A003652

KEYWORD

nonn

AUTHOR

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

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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