|
Search: id:A158319
|
|
| |
|
| 440, 881, 1322, 1763, 2204, 2645, 3086, 3527, 3968, 4409, 4850, 5291, 5732, 6173, 6614, 7055, 7496, 7937, 8378, 8819, 9260, 9701, 10142, 10583, 11024, 11465, 11906, 12347, 12788, 13229, 13670, 14111, 14552, 14993, 15434, 15875, 16316, 16757
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A157737] 441*n.^2-2*n (n>0, 439, 1760, 3963,.,); Y=[A010860] 21 (21, 21, 21 ,.,); X=[A158319] 441*n-1 (n>0, 440, 881, 1322, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 440^2-439*21^2=1; 881^2-1760*21^2=1; 1322^2-3963*21^2=1.
|
|
LINKS
|
Wolfram MathWorld, Pell Equation
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
|
|
FORMULA
|
a(n)=441*n-1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=440; n=2, a(2)=881; n=3, a(3)=1322
|
|
CROSSREFS
|
Cf. A157737, A010860
Sequence in context: A061328 A092048 A072604 this_sequence A061626 A124170 A057949
Adjacent sequences: A158316 A158317 A158318 this_sequence A158320 A158321 A158322
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 16 2009
|
|
|
Search completed in 0.002 seconds
|
