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A041050 Numerators of continued fraction convergents to sqrt(31). 2
5, 6, 11, 39, 206, 657, 863, 1520, 16063, 17583, 33646, 118521, 626251, 1997274, 2623525, 4620799, 48831515, 53452314, 102283829, 360303801, 1903802834, 6071712303, 7975515137, 14047227440, 148447789537 (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 (0,0,0,0,0,0,0,3040,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -5*x^14 +6*x^13 -11*x^12 +39*x^11 -206*x^10 +657*x^9 -863*x^8 -1520*x^7 -863*x^6 -657*x^5 -206*x^4 -39*x^3 -11*x^2 -6*x -5) / (x^16 -3040*x^8 +1). - Colin Barker, Nov 04 2013

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[31], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011*)

Numerator[Convergents[Sqrt[31], 30]] (* Vincenzo Librandi, Oct 28 2013 *)

CROSSREFS

Cf. A041051, A010486.

Sequence in context: A042493 A042217 A041355 * A041227 A042183 A328544

Adjacent sequences:  A041047 A041048 A041049 * A041051 A041052 A041053

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 15 15:01 EST 2019. Contains 329999 sequences. (Running on oeis4.)