A042155 Denominators of continued fraction convergents to sqrt(602).

1, 1, 2, 13, 15, 28, 1359, 1387, 2746, 17863, 20609, 38472, 1867265, 1905737, 3773002, 24543749, 28316751, 52860500, 2565620751, 2618481251, 5184102002, 33723093263, 38907195265, 72630288528, 3525161044609, 3597791333137, 7122952377746, 46335505599613

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1374,0,0,0,0,0,-1).

Crossrefs

Cf. A042154, A040577.

Programs

Mathematica

Denominator[Convergents[Sqrt[602], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
LinearRecurrence[{0,0,0,0,0,1374,0,0,0,0,0,-1},{1,1,2,13,15,28,1359,1387,2746,17863,20609,38472},30] (* Harvey P. Dale, May 20 2025 *)

Formula

G.f.: -(x^2-2*x-1)*(x^4-x^3+2*x^2+x+1)*(x^4+2*x^3+5*x^2-2*x+1) / (x^12-1374*x^6+1). - Colin Barker, Nov 19 2013

Extensions

More terms from Colin Barker, Nov 19 2013