A041144 Numerators of continued fraction convergents to sqrt(82).

9, 163, 2943, 53137, 959409, 17322499, 312764391, 5647081537, 101960232057, 1840931258563, 33238722886191, 600137943210001, 10835721700666209, 195643128555201763, 3532412035694297943, 63779059771052564737, 1151555487914640463209, 20791777842234580902499

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 (18,1).

Formula

From Philippe Deléham, Nov 21 2008: (Start)

a(n) = 18*a(n-1) + a(n-2), n > 1; a(0)=9, a(1)=163.

G.f.: (9+x)/(1-18*x-x^2). (End)

Mathematica

CoefficientList[Series[(9 + x)/(1 - 18 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 29 2013 *)

Crossrefs

Cf. A010533, A041145.

Sequence in context: A077280 A297436 A041147 * A212334 A377330 A354900

Adjacent sequences: A041141 A041142 A041143 * A041145 A041146 A041147

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved