A378956 a(n) is the number of imaginary biquadratic fields with class number 2*n-1.

47, 163, 243, 277, 421, 365, 358, 937, 417, 439, 1186, 596, 1074, 1305, 677, 633, 1453, 1579, 757, 1499, 904, 939, 3066, 952, 1542

Offset

1,1

Comments

There are finitely many imaginary biquadratic fields given a class number.

Links

Table of n, a(n) for n=1..25.

J. M. Basilla and I. A. C. Fajardo, Imaginary bicyclic biquadratic number fields with class number 5, Kyungpook Math. J. 64(2) (2024), 303-309.

E. Brown and C. J. Parry, The imaginary bicyclic biquadratic fields with class-number 1, J. Reine Angew. Math. 266(1974), 118-120.

S. W. Jung and S. H. Kwon, Determination of all imaginary bicyclic biquadratic number fields of class number 3, Bull. Korean Math. Soc. 35(1) (1998), 83-89.

Example

For n=1, there are a(1)=47 imaginary biquadratic fields with class number 1.
For n=2, there are a(2)=163 imaginary biquadratic fields with class number 3.

Crossrefs

Cf. A159456.

Sequence in context: A142529 A288022 A142634 * A140641 A141994 A185938

Adjacent sequences: A378953 A378954 A378955 * A378957 A378958 A378959

Keyword

nonn,more

Author

Iana Angela C. Fajardo, Dec 12 2024

Status

approved