|
| |
|
|
A003654
|
|
Squarefree integers n such that fundamental unit of Q(sqrt(n)) has norm -1. Also, squarefree integers n such that Pell equation x^2 - n y^2 = -1 is soluble.
(Formerly M1366)
|
|
11
| |
|
|
2, 5, 10, 13, 17, 26, 29, 37, 41, 53, 58, 61, 65, 73, 74, 82, 85, 89, 97, 101, 106, 109, 113, 122, 130, 137, 145, 149, 157, 170, 173, 181, 185, 193, 197, 202, 218, 226, 229, 233, 241, 257, 265, 269, 274, 277, 281, 290, 293, 298, 313, 314, 317, 337, 346, 349, 353, 362
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| The squarefree elements of A003814 and A172000. [From Max Alekseyev (maxale(AT)gmail.com), Jun 01 2009]
Together with {1} and A031398 forms a disjoint partition of A020893. That is, A020893 = {1} U A003654 U A031398. [From Max Alekseyev (maxale(AT)gmail.com), Mar 09 2010]
|
|
|
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
| S. R. Finch, Class number theory
|
|
|
CROSSREFS
| Cf. A031396, A031397, A003814.
Sequence in context: A145017 A003814 A031396 * A047617 A190437 A190249
Adjacent sequences: A003651 A003652 A003653 * A003655 A003656 A003657
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein
|
|
|
EXTENSIONS
| Edited by Max Alekseyev (maxale(AT)gmail.com), Mar 17 2010
|
| |
|
|
