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

0,1

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

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

Mathematica

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

Crossrefs

Cf. A041537.

Sequence in context: A300133 A041534 A306572 * A041538 A033052 A041540

Adjacent sequences: A041533 A041534 A041535 * A041537 A041538 A041539

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved