|
Search: id:A158365
|
|
| |
|
| 528, 1057, 1586, 2115, 2644, 3173, 3702, 4231, 4760, 5289, 5818, 6347, 6876, 7405, 7934, 8463, 8992, 9521, 10050, 10579, 11108, 11637, 12166, 12695, 13224, 13753, 14282, 14811, 15340, 15869, 16398, 16927, 17456, 17985, 18514, 19043, 19572
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158364] 529*n.^2-2*n (n>0, 527, 2112, 4755,.,); Y=[A010862] 23 (23, 23, 23 ,.,); X=[A158365] 529*n-1 (n>0, 528, 1057, 1586, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 528^2-527*23^2=1; 1057^2-2112*23^2=1; 1586^2-4755*23^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=529*n-1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=528; n=2, a(2)=1057; n=3, a(3)=1586
|
|
CROSSREFS
|
Cf. A010862, A158364
Sequence in context: A158364 A085329 A157475 this_sequence A076580 A037944 A059465
Adjacent sequences: A158362 A158363 A158364 this_sequence A158366 A158367 A158368
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009
|
|
|
Search completed in 0.002 seconds
|
