A042814 Numerators of continued fraction convergents to sqrt(938).

30, 31, 61, 92, 245, 2052, 4349, 6401, 10750, 17151, 1039810, 1056961, 2096771, 3153732, 8404235, 70387612, 149179459, 219567071, 368746530, 588313601, 35667562590, 36255876191, 71923438781, 108179314972, 288282068725

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, 34302, 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 -245*x^14 +2052*x^13 -4349*x^12 +6401*x^11 -10750*x^10 -17151*x^9 -10750*x^8 -6401*x^7 -4349*x^6 -2052*x^5 -245*x^4 -92*x^3 -61*x^2 -31*x -30) / (x^20 -34302*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Numerator[Convergents[Sqrt[938], 30]] (* Vincenzo Librandi, Dec 05 2013 *)

Crossrefs

Cf. A042815, A040907.

Sequence in context: A267747 A022400 A042812 * A042816 A042818 A042808

Adjacent sequences: A042811 A042812 A042813 * A042815 A042816 A042817

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Dec 24 2013

Status

approved