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

0,1

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).

Formula

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

Mathematica

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

Crossrefs

Cf. A041391.

Sequence in context: A041386 A041388 A042617 * A240823 A226734 A162931

Adjacent sequences: A041387 A041388 A041389 * A041391 A041392 A041393

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved