A041510 Numerators of continued fraction convergents to sqrt(272).

16, 33, 1072, 2177, 70736, 143649, 4667504, 9478657, 307984528, 625447713, 20322311344, 41270070401, 1340964564176, 2723199198753, 88483338924272, 179689877047297, 5838559404437776, 11856808685922849, 385256437353968944, 782369683393860737

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,66,0,-1).

Formula

G.f.: -(x+1)*(x^2-17*x-16) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[272], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

Crossrefs

Cf. A041511.

Sequence in context: A041506 A041508 A144533 * A070590 A132370 A185467

Adjacent sequences: A041507 A041508 A041509 * A041511 A041512 A041513

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved