|
|
A283659
|
|
Class numbers of the fields Q(sqrt(A283658(n))).
|
|
1
|
|
|
2, 3, 4, 8, 12, 14, 16, 20, 22, 28, 44, 48, 52, 58, 74, 96, 116, 130, 153, 154, 176, 180, 200, 230, 240, 256, 288, 296, 312
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
REFERENCES
|
Z. I. Borevich and I. R. Shafarevich, Number Theory. Academic Press, NY, 1966.
|
|
LINKS
|
|
|
EXAMPLE
|
The sequence starts with 2 because the first number in A283658 is 10 and the class number of Q(sqrt(10)) equals 2.
The fifth term is 12 because A283658(5) = 226 and the class number of Q(sqrt(226)) is 12.
|
|
MATHEMATICA
|
H = {}; hx = 1; d = 2; While[hx < 5, d++;
If[SquareFreeQ[d], h = NumberFieldClassNumber[Sqrt[d]];
If[h > hx, AppendTo[H, h]; hx = h]]]; H
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|