|
Search: id:A158408
|
|
| |
|
| 898, 3596, 8094, 14392, 22490, 32388, 44086, 57584, 72882, 89980, 108878, 129576, 152074, 176372, 202470, 230368, 260066, 291564, 324862, 359960, 396858, 435556, 476054, 518352, 562450, 608348, 656046, 705544, 756842, 809940, 864838, 921536
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158408] 900*n.^2-2*n (n>0, 898, 3596, 8094,.,); Y=[A010869] 30 (30, 30, 30, ,.,); X=[A158409] 900*n-1 (n>0, 899, 1799, 2699, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 899^2-898*30^2=1; 1799^2-3596*30^2=1; 2699^2-8094*30^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
|
|
FORMULA
|
a(n)=900*n^2-2*n (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=898; n=2, a(2)=3596; n=3, a(3)=8094
|
|
CROSSREFS
|
cf. A010869, A158409
Sequence in context: A063878 A063167 A145498 this_sequence A158409 A061044 A127658
Adjacent sequences: A158405 A158406 A158407 this_sequence A158409 A158410 A158411
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009
|
|
|
Search completed in 0.002 seconds
|
