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A041654 Numerators of continued fraction convergents to sqrt(346). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 22 14:32 EDT 2019. Contains 323480 sequences. (Running on oeis4.)