login
A005474
Class numbers of the real quadratic fields Q(sqrt(A005473(n))).
(Formerly M2215)
2
1, 1, 1, 1, 1, 3, 1, 3, 5, 3, 3, 7, 3, 5, 7, 3, 3, 5, 9, 7, 3, 5, 5, 15, 9, 19, 5, 13, 9, 9, 5, 19, 9, 5, 7, 15, 13, 9, 9, 15, 25, 13, 9, 27, 19, 15, 21, 7, 13, 11, 23, 9, 13, 13, 11, 33, 15, 25, 23, 15, 13, 29, 21, 17, 43, 35, 27, 33, 17, 17, 27, 45, 11, 63, 15, 31, 17, 15, 33, 15, 31, 31
OFFSET
1,6
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
D. Shanks, The simplest cubic fields, Math. Comp., 28 (1974), 1137-1152 (see Table 2 page 1143).
PROG
(Sage)
def a(n):
m, k = 1, 1
while (m < n): k += 1; m += (k^2+4).is_prime()
return QuadraticField(k^2+4).class_number() # Robin Visser, Dec 07 2024
CROSSREFS
Sequence in context: A110091 A263051 A284130 * A012264 A063198 A122582
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms and name edited by Robin Visser, Dec 07 2024
STATUS
approved