A041942 Numerators of continued fraction convergents to sqrt(494).

22, 89, 200, 489, 689, 1867, 2556, 6979, 16514, 73035, 3230054, 12993251, 29216556, 71426363, 100642919, 272712201, 373355120, 1019422441, 2412200002, 10668222449, 471813987758, 1897924173481, 4267662334720, 10433248842921, 14700911177641

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, 146070, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -22*x^18 +89*x^17 -200*x^16 +489*x^15 -689*x^14 +1867*x^13 -2556*x^12 +6979*x^11 -16514*x^10 -73035*x^9 -16514*x^8 -6979*x^7 -2556*x^6 -1867*x^5 -689*x^4 -489*x^3 -200*x^2 -89*x -22) / (x^20 -146070*x^10 +1). - Colin Barker, Nov 27 2013

Mathematica

Numerator[Convergents[Sqrt[494], 30]] (* Harvey P. Dale, Oct 19 2012 *)

Crossrefs

Cf. A041943, A040471.

Sequence in context: A197720 A195323 A041940 * A231265 A041944 A230357

Adjacent sequences: A041939 A041940 A041941 * A041943 A041944 A041945

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 27 2013

Status

approved