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A041238 Numerators of continued fraction convergents to sqrt(131). 2
11, 23, 103, 1156, 4727, 10610, 238147, 486904, 2185763, 24530297, 100306951, 225144199, 5053479329, 10332102857, 46381890757, 520532901184, 2128513495493, 4777559892170, 107234831123233 (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 (0,0,0,0,0,21220,0,0,0,0,0,-1).

FORMULA

a(n) = 21220*a(n-6)-a(n-12). G.f.: -(x^11 -11*x^10 +23*x^9 -103*x^8 +1156*x^7 -4727*x^6 -10610*x^5 -4727*x^4 -1156*x^3 -103*x^2 -23*x -11) / (x^12-21220*x^6+1). [Colin Barker, Jul 19 2012]

MATHEMATICA

Numerator[Convergents[Sqrt[131], 25]] (* Vincenzo Librandi, Oct 27 2013 *)

CROSSREFS

Cf. A041239.

Sequence in context: A092558 A294255 A088777 * A089779 A146084 A179520

Adjacent sequences:  A041235 A041236 A041237 * A041239 A041240 A041241

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 24 16:47 EDT 2019. Contains 323533 sequences. (Running on oeis4.)