A041312 Numerators of continued fraction convergents to sqrt(170).

13, 339, 8827, 229841, 5984693, 155831859, 4057613027, 105653770561, 2751055647613, 71633100608499, 1865211671468587, 48567136558791761, 1264610762200054373, 32928446953760205459, 857404231559965396307, 22325438467512860509441, 581318804386894338641773

Offset

0,1

Links

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

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (26,1).

Formula

From Philippe Deléham, Nov 21 2008: (Start)

a(n) = 26*a(n-1) + a(n-2) for n > 1, a(0)=13, a(1)=339.

G.f.: (13+x)/(1-26*x-x^2). (End)

Mathematica

Numerator[Convergents[Sqrt[170], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041313.

Sequence in context: A204195 A238652 A041315 * A372183 A096717 A296679

Adjacent sequences: A041309 A041310 A041311 * A041313 A041314 A041315

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved