A132644 X-values of solutions to the equation X*(X + 1) - 13*Y^2 = 0.

0, 324, 421200, 546717924, 709639444800, 921111452633124, 1195601955878350800, 1551890417618646705924, 2014352566467047545939200, 2614628079383810095982376324, 3393785232687619037537578530000

Offset: 0

Author

Mohamed Bouhamida, Nov 14 2007

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (1299,-1299,1).

Crossrefs

Cf. A007654.

Programs

Mathematica

CoefficientList[Series[-((324 x (1+x))/(-1+1299 x-1299 x^2+x^3)),{x,0,20}],x] (* or *) LinearRecurrence[{1299,-1299,1},{0,324,421200},20] (* Harvey P. Dale, Jul 24 2021 *)

Formula

a(n) = 1298*a(n-1) - a(n-2) + 648; a(0)=0, a(1)=324.

G.f.: -324*x*(x+1)/((x-1)*(x^2 - 1298*x + 1)). - Colin Barker, Oct 25 2012

Extensions

More terms from Paolo P. Lava, Oct 07 2008