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A042814 Numerators of continued fraction convergents to sqrt(938). 2
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 (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, 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

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Last modified March 19 13:03 EDT 2019. Contains 321330 sequences. (Running on oeis4.)