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A041036 Numerators of continued fraction convergents to sqrt(23). 2
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 (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 (0,0,0,48,0,0,0,-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

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Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)