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A041130 Numerators of continued fraction convergents to sqrt(74). 2
8, 9, 17, 26, 43, 714, 757, 1471, 2228, 3699, 61412, 65111, 126523, 191634, 318157, 5282146, 5600303, 10882449, 16482752, 27365201, 454325968, 481691169, 936017137, 1417708306, 2353725443, 39077315394, 41431040837, 80508356231, 121939397068, 202447753299 (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 (0,0,0,0,86,0,0,0,0,1).

FORMULA

G.f.: -(x^9-8*x^8+9*x^7-17*x^6+26*x^5+43*x^4+26*x^3+17*x^2+9*x+8) / (x^10+86*x^5-1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[74], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010526, A041131.

Sequence in context: A261454 A022098 A129659 * A041307 A042289 A041132

Adjacent sequences:  A041127 A041128 A041129 * A041131 A041132 A041133

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 2013

STATUS

approved

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Last modified May 8 15:28 EDT 2021. Contains 343666 sequences. (Running on oeis4.)