A132607 X-values of solutions to the equation X*(X + 1) - 11*Y^2 = 0.

0, 99, 39600, 15760899, 6272798400, 2496558002499, 993623812196400, 395459780696164899, 157391999093261433600, 62641620179337354408099, 24931207439377173792990000, 9922557919251935832255612099

Offset: 0

Author

Mohamed Bouhamida, Nov 14 2007

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..384
• Index entries for linear recurrences with constant coefficients, signature (399,-399,1).

Crossrefs

Cf. A007654.

Programs

Mathematica

LinearRecurrence[{399,-399,1},{0,99,39600},20] (* Harvey P. Dale, Aug 12 2022 *)

Formula

a(n) = 398*a(n-1) - a(n-2) + 198; a(0)=0, a(1)=99.

G.f.: -99*x*(x+1)/((x-1)*(x^2 - 398*x + 1)). - Colin Barker, Oct 25 2012

Extensions

More terms from Paolo P. Lava, Oct 07 2008