A041536 Numerators of continued fraction convergents to sqrt(285).

16, 17, 135, 287, 2144, 2431, 79936, 82367, 656505, 1395377, 10424144, 11819521, 388648816, 400468337, 3191927175, 6784322687, 50682185984, 57466508671, 1889610463456, 1947076972127, 15519149268345, 32985375508817, 246416777830064, 279402153338881

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

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, 4862, 0, 0, 0, 0, 0, -1).

Crossrefs

Cf. A041537.

Programs

Mathematica

Numerator[Convergents[Sqrt[285], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Formula

G.f.: -(x^11 -16*x^10 +17*x^9 -135*x^8 +287*x^7 -2144*x^6 -2431*x^5 -2144*x^4 -287*x^3 -135*x^2 -17*x -16) / ((x^4 -17*x^2 +1)*(x^8 +17*x^6 +288*x^4 +17*x^2 +1)). - Colin Barker, Nov 08 2013

Extensions

More terms from Colin Barker, Nov 08 2013