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A041938 Numerators of continued fraction convergents to sqrt(492). 2
22, 111, 133, 244, 2573, 2817, 5390, 29767, 1315138, 6605457, 7920595, 14526052, 153181115, 167707167, 320888282, 1772148577, 78295425670, 393249276927, 471544702597, 864793979524, 9119484497837, 9984278477361, 19103762975198, 105503093353351 (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, 59534, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -22*x^14 +111*x^13 -133*x^12 +244*x^11 -2573*x^10 +2817*x^9 -5390*x^8 -29767*x^7 -5390*x^6 -2817*x^5 -2573*x^4 -244*x^3 -133*x^2 -111*x -22) / ((x^8 -244*x^4 +1)*(x^8 +244*x^4 +1)). - Colin Barker, Nov 27 2013

MATHEMATICA

Numerator[Convergents[Sqrt[492], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

CROSSREFS

Cf. A041939, A040469.

Sequence in context: A233299 A174074 A261534 * A084013 A083123 A084017

Adjacent sequences:  A041935 A041936 A041937 * A041939 A041940 A041941

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 October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)