A041390 Numerators of continued fraction convergents to sqrt(210).

14, 29, 826, 1681, 47894, 97469, 2777026, 5651521, 161019614, 327690749, 9336360586, 19000411921, 541347894374, 1101696200669, 31388841513106, 63879379226881, 1820011459865774, 3703902298958429, 105529275830701786, 214762453960362001, 6118877986720837814

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,58,0,-1).

Crossrefs

Cf. A041391.

Programs

Mathematica

Numerator[Convergents[Sqrt[210], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Formula

G.f.: -(x+1)*(x^2-15*x-14) / (x^4-58*x^2+1). - Colin Barker, Nov 07 2013

Extensions

More terms from Colin Barker, Nov 07 2013