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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
OFFSET
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
Sequence in context: A042885 A042085 A136211 * A041699 A154704 A047023
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved