A041238 Numerators of continued fraction convergents to sqrt(131).

11, 23, 103, 1156, 4727, 10610, 238147, 486904, 2185763, 24530297, 100306951, 225144199, 5053479329, 10332102857, 46381890757, 520532901184, 2128513495493, 4777559892170, 107234831123233

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