OFFSET
1,1
COMMENTS
The identity (576*n-1)^2-(576*n^2-2*n)*(24)^2=1 can be written as a(n)^2-A158371(n)*(24)^2=1.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..10000
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*(24^2*t-2)).
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
a(n) = 2*a(n-1)-a(n-2).
G.f.: x*(575+x)/(1-x)^2.
MATHEMATICA
LinearRecurrence[{2, -1}, {575, 1151}, 50]
576*Range[40]-1 (* Harvey P. Dale, Dec 15 2017 *)
PROG
(Magma) I:=[575, 1151]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n) = 576*n - 1.
CROSSREFS
Cf. A158371.
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Mar 17 2009
STATUS
approved