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A042816 Numerators of continued fraction convergents to sqrt(939). 2
30, 31, 61, 92, 429, 8672, 35117, 43789, 78906, 122695, 7440606, 7563301, 15003907, 22567208, 105272739, 2128021988, 8617360691, 10745382679, 19362743370, 30108126049, 1825850306310, 1855958432359, 3681808738669, 5537767171028 (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, 0, 0, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -30*x^18 +31*x^17 -61*x^16 +92*x^15 -429*x^14 +8672*x^13 -35117*x^12 +43789*x^11 -78906*x^10 -122695*x^9 -78906*x^8 -43789*x^7 -35117*x^6 -8672*x^5 -429*x^4 -92*x^3 -61*x^2 -31*x -30) / (x^20 -245390*x^10 +1). - Colin Barker, Dec 24 2013

MATHEMATICA

Numerator[Convergents[Sqrt[939], 30]] (* Vincenzo Librandi, Dec 05 2013 *)

CROSSREFS

Cf. A042817, A040908.

Sequence in context: A022400 A042812 A042814 * A042818 A042808 A042810

Adjacent sequences:  A042813 A042814 A042815 * A042817 A042818 A042819

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 24 2013

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)