|
Search: id:A158396
|
|
| |
|
| 731, 2920, 6567, 11672, 18235, 26256, 35735, 46672, 59067, 72920, 88231, 105000, 123227, 142912, 164055, 186656, 210715, 236232, 263207, 291640, 321531, 352880, 385687, 419952, 455675, 492856, 531495, 571592, 613147, 656160, 700631, 746560
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158396] 729*n.^2+2*n (n>0, 731, 2920, 6567,.,); Y=[A010866] 27 (27, 27, 27, ,.,); X=[A158397] 729*n+1 (n>0, 730, 1459, 2188, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 730^2-731*27^2=1; 1459^2-2920*27^2=1; 2188^2-6567*27^2=1.
|
|
LINKS
|
Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
|
|
FORMULA
|
a(n)=729*n^2+2*n (n>0)
|
|
EXAMPLE
|
For n=1, (1)=731; n=2, a(2)=2920; n=3, a(3)=6567
|
|
CROSSREFS
|
Cf. A010866, A158397
Sequence in context: A098292 A031525 A031705 this_sequence A098263 A098291 A044988
Adjacent sequences: A158393 A158394 A158395 this_sequence A158397 A158398 A158399
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009
|
|
|
Search completed in 0.002 seconds
|
