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A042030 Numerators of continued fraction convergents to sqrt(539). 2
23, 93, 116, 209, 325, 534, 859, 3970, 183479, 737886, 921365, 1659251, 2580616, 4239867, 6820483, 31521799, 1456823237, 5858814747, 7315637984, 13174452731, 20490090715, 33664543446, 54154634161, 250283080090, 11567176318301, 46518988353294, 58086164671595 (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, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -23*x^14 +93*x^13 -116*x^12 +209*x^11 -325*x^10 +534*x^9 -859*x^8 -3970*x^7 -859*x^6 -534*x^5 -325*x^4 -209*x^3 -116*x^2 -93*x -23) / (x^16 -7940*x^8 +1). - Colin Barker, Nov 29 2013

MATHEMATICA

Numerator[Convergents[Sqrt[539], 30]]  (* Vincenzo Librandi, Nov 14 2013 *)

CROSSREFS

Cf. A042031, A040515.

Sequence in context: A306138 A317371 A244632 * A042032 A257976 A183011

Adjacent sequences:  A042027 A042028 A042029 * A042031 A042032 A042033

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified November 16 17:06 EST 2018. Contains 317274 sequences. (Running on oeis4.)