A041654 Numerators of continued fraction convergents to sqrt(346).

18, 19, 37, 56, 93, 3404, 3497, 6901, 10398, 17299, 633162, 650461, 1283623, 1934084, 3217707, 117771536, 120989243, 238760779, 359750022, 598510801, 21906138858, 22504649659, 44410788517, 66915438176, 111326226693, 4074659599124, 4185985825817

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, 0, 0, 0, 186, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-18*x^8+19*x^7-37*x^6+56*x^5+93*x^4+56*x^3+37*x^2+19*x+18) / (x^10+186*x^5-1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[346], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 0, 0, 0, 186, 0, 0, 0, 0, 1}, {18, 19, 37, 56, 93, 3404, 3497, 6901, 10398, 17299}, 30] (* Harvey P. Dale, Jul 28 2014 *)

Crossrefs

Cf. A041655.

Sequence in context: A056022 A118510 A022108 * A041656 A042507 A041658

Adjacent sequences: A041651 A041652 A041653 * A041655 A041656 A041657

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved