|
Search: id:A158404
|
|
| |
|
| 842, 1683, 2524, 3365, 4206, 5047, 5888, 6729, 7570, 8411, 9252, 10093, 10934, 11775, 12616, 13457, 14298, 15139, 15980, 16821, 17662, 18503, 19344, 20185, 21026, 21867, 22708, 23549, 24390, 25231, 26072, 26913, 27754, 28595, 29436
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158403] 841*n.^2+2*n (n>0, 843, 3368, 7575,.,); Y=[A010868] 29 (29, 29, 29, ,.,); X=[A158404] 841*n+1 (n>0, 842, 1683, 2524, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 842^2-843*29^2=1; 1683^2-3368*29^2=1; 2524^2-7575*29^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
|
|
FORMULA
|
a(n)=841*n+1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=842; n=2, a(2)=1683; n=3, a(3)=2524
|
|
CROSSREFS
|
Cf. A010868, A158403
Sequence in context: A133496 A121499 A049530 this_sequence A004929 A031736 A031617
Adjacent sequences: A158401 A158402 A158403 this_sequence A158405 A158406 A158407
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 18 2009
|
|
|
Search completed in 0.002 seconds
|
