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A041942 Numerators of continued fraction convergents to sqrt(494). 2
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 (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, 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

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Last modified September 29 15:17 EDT 2020. Contains 337432 sequences. (Running on oeis4.)