A041118 Numerators of continued fraction convergents to sqrt(68).

8, 33, 536, 2177, 35368, 143649, 2333752, 9478657, 153992264, 625447713, 10161155672, 41270070401, 670482282088, 2723199198753, 44241669462136, 179689877047297, 2919279702218888, 11856808685922849, 192628218676984472, 782369683393860737, 12710543152978756264

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

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

Formula

G.f.: -(x^3-8*x^2-33*x-8) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 05 2013

Mathematica

Numerator[Convergents[Sqrt[68], 30]] (* Harvey P. Dale, Aug 12 2012 *)

Crossrefs

Cf. A010520, A041119.

Sequence in context: A240044 A069509 A204191 * A308879 A297904 A298498

Adjacent sequences: A041115 A041116 A041117 * A041119 A041120 A041121

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved