|
Search: id:A158383
|
|
| |
|
| 626, 1251, 1876, 2501, 3126, 3751, 4376, 5001, 5626, 6251, 6876, 7501, 8126, 8751, 9376, 10001, 10626, 11251, 11876, 12501, 13126, 13751, 14376, 15001, 15626, 16251, 16876, 17501, 18126, 18751, 19376, 20001, 20626, 21251, 21876, 22501, 23126
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If A=[A158382] 625*n.^2+2*n (n>0, 627, 2504, 5631,.,); Y=[A010864] 25 (25, 25, 25, ,.,); X=[A158383] 625*n+1 (n>0, 626, 1251, 1876, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 626^2-627*25^2=1; 1251^2-2504*25^2=1; 1876^2-5631*25^2=1.
|
|
LINKS
|
Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
|
|
FORMULA
|
a(n)=625*n+1 (n>0)
|
|
EXAMPLE
|
For n=1, a(1)=626; n=2, a(2)=1251; n=3, a(3)=1876
|
|
CROSSREFS
|
Cf. A158382, A010864
Sequence in context: A013837 A050448 A045171 this_sequence A031613 A031728 A098262
Adjacent sequences: A158380 A158381 A158382 this_sequence A158384 A158385 A158386
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009
|
|
|
Search completed in 0.002 seconds
|
