|
Search: id:A013654
|
|
|
| A013654 |
|
Each term of the period of continued fraction for sqrt(n) divides n. |
|
+0
1
|
|
| 2, 8, 12, 24, 30, 48, 56, 80, 90, 120, 132, 168, 182, 224, 240, 288, 306, 360, 380, 440, 462, 528, 552, 624, 650, 728, 756, 840, 870, 960, 992, 1088, 1122, 1224, 1260, 1368, 1406, 1520, 1560, 1680, 1722, 1848, 1892, 2024, 2070, 2208, 2256, 2400, 2450, 2600
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
Kenneth H. Rosen, Elementary Number Theory and Its Applications, Addison-Wesley, 1984, page 426 (but beware of errors!).
H. Davenport, The Higher Arithmetic. Cambridge Univ. Press, 7th edition, 1999, Table 1.
|
|
FORMULA
|
a(2n)= 2*(n+1)*(2n), a(2n+1)= 2*(n+1)*(2n+1). - Frank Ellermann, Feb 22, 2002
G.f.:(-2-6*x)/((x+1)^2*(x-1)^3) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
|
|
CROSSREFS
|
Sequence in context: A111058 A063622 A162152 this_sequence A108978 A135957 A107755
Adjacent sequences: A013651 A013652 A013653 this_sequence A013655 A013656 A013657
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Clark Kimberling (ck6(AT)evansville.edu)
|
|
EXTENSIONS
|
More terms from David W. Wilson (davidwwilson(AT)comcast.net)
|
|
|
Search completed in 0.002 seconds
|
