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A041940 Numerators of continued fraction convergents to sqrt(493). 2
22, 89, 111, 1199, 3708, 12323, 126938, 139261, 683982, 30234469, 121621858, 151856327, 1640185128, 5072411711, 16857420261, 173646614321, 190504034582, 935662752649, 41359665151138, 166374323357201, 207733988508339, 2243714208440591, 6938876613830112 (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 (0,0,0,0,0,0,0,0,1367964,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^17 -22*x^16 +89*x^15 -111*x^14 +1199*x^13 -3708*x^12 +12323*x^11 -126938*x^10 +139261*x^9 +683982*x^8 +139261*x^7 +126938*x^6 +12323*x^5 +3708*x^4 +1199*x^3 +111*x^2 +89*x +22) / ((x^6 +111*x^3 -1)*(x^12 -111*x^9 +12322*x^6 +111*x^3 +1)). - Colin Barker, Nov 27 2013

MATHEMATICA

Numerator[Convergents[Sqrt[493], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

CROSSREFS

Cf. A041941, A040470.

Sequence in context: A298443 A197720 A195323 * A041942 A231265 A041944

Adjacent sequences:  A041937 A041938 A041939 * A041941 A041942 A041943

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 19 18:25 EDT 2020. Contains 337181 sequences. (Running on oeis4.)