A042824 Numerators of continued fraction convergents to sqrt(943).

30, 31, 92, 215, 522, 737, 44742, 45479, 135700, 316879, 769458, 1086337, 65949678, 67036015, 200021708, 467079431, 1134180570, 1601260001, 97209780630, 98811040631, 294831861892, 688474764415, 1671781390722, 2360256155137, 143287150698942, 145647406854079

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, 1474, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -30*x^10 +31*x^9 -92*x^8 +215*x^7 -522*x^6 -737*x^5 -522*x^4 -215*x^3 -92*x^2 -31*x -30) / (x^12 -1474*x^6 +1). - Colin Barker, Dec 24 2013

Mathematica

Numerator[Convergents[Sqrt[943], 30]] (* Vincenzo Librandi, Dec 05 2013 *)

Crossrefs

Cf. A042825, A040912.

Sequence in context: A042800 A042826 A042828 * A042822 A042820 A042834

Adjacent sequences: A042821 A042822 A042823 * A042825 A042826 A042827

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved