A041938 Numerators of continued fraction convergents to sqrt(492).

22, 111, 133, 244, 2573, 2817, 5390, 29767, 1315138, 6605457, 7920595, 14526052, 153181115, 167707167, 320888282, 1772148577, 78295425670, 393249276927, 471544702597, 864793979524, 9119484497837, 9984278477361, 19103762975198, 105503093353351

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: A373130 A233299 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