|
Search: id:A117547
|
|
|
| A117547 |
|
Numbers n such that 2n^2+1 is a perfect power. |
|
+0
2
|
|
| 0, 2, 11, 12, 70, 408, 2378, 13860, 80782, 470832, 2744210, 15994428, 93222358, 543339720, 3166815962, 18457556052
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The value of y in the solution of the Diophantine equation x^a-2y^b=1. All solutions have b=2. Sequence A075114 gives n^2. The only known solution for a>2 is y=11. See A075114 for more details.
|
|
CROSSREFS
|
Sequence in context: A113720 A034118 A140148 this_sequence A037091 A127303 A068972
Adjacent sequences: A117544 A117545 A117546 this_sequence A117548 A117549 A117550
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), Mar 29 2006
|
|
EXTENSIONS
|
More terms from T. D. Noe (noe(AT)sspectra.com), Nov 19 2006
|
|
|
Search completed in 0.002 seconds
|
