A041036 Numerators of continued fraction convergents to sqrt(23).

4, 5, 19, 24, 211, 235, 916, 1151, 10124, 11275, 43949, 55224, 485741, 540965, 2108636, 2649601, 23305444, 25955045, 101170579, 127125624, 1118175571, 1245301195, 4854079156, 6099380351, 53649121964

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,48,0,0,0,-1).

Formula

G.f.: (4+5*x+19*x^2+24*x^3+19*x^4-5*x^5+4*x^6-x^7)/(1-48*x^4+x^8). [Colin Barker, Jan 03 2012]

Mathematica

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[23], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 17 2011 *)
Numerator[Convergents[Sqrt[23], 40]] (* Harvey P. Dale, Nov 29 2012 *)

Crossrefs

Cf. A010479, A041037.

Sequence in context: A042885 A042085 A136211 * A041699 A154704 A047023

Adjacent sequences: A041033 A041034 A041035 * A041037 A041038 A041039

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved