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A158368 529n + 1. 2
530, 1059, 1588, 2117, 2646, 3175, 3704, 4233, 4762, 5291, 5820, 6349, 6878, 7407, 7936, 8465, 8994, 9523, 10052, 10581, 11110, 11639, 12168, 12697, 13226, 13755, 14284, 14813, 15342, 15871, 16400, 16929, 17458, 17987, 18516, 19045, 19574 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The identity (529*n+1)^2-(529*n^2+2*n)*(23)^2=1 can be written as a(n)^2-A158367(n)*(23)^2=1.
LINKS
Vincenzo Librandi, X^2-AY^2=1
E. J. Barbeau, Polynomial Excursions, Chapter 10: Diophantine equations (2010), pages 84-85 (row 15 in the first table at p. 85, case d(t) = t*(23^2*t+2)).
FORMULA
G.f.: x*(530-x)/(1-x)^2.
a(n) = 2*a(n-1)-a(n-2).
MATHEMATICA
LinearRecurrence[{2, -1}, {530, 1059}, 50]
529*Range[40]+1 (* Harvey P. Dale, Nov 02 2017 *)
PROG
(Magma) I:=[530, 1059]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n) = 529*n + 1.
CROSSREFS
Cf. A158367.
Sequence in context: A013773 A013907 A048455 * A250795 A031724 A251004
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Mar 17 2009
STATUS
approved

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Last modified March 18 22:50 EDT 2024. Contains 370951 sequences. (Running on oeis4.)