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A041144
Numerators of continued fraction convergents to sqrt(82).
3
9, 163, 2943, 53137, 959409, 17322499, 312764391, 5647081537, 101960232057, 1840931258563, 33238722886191, 600137943210001, 10835721700666209, 195643128555201763, 3532412035694297943, 63779059771052564737, 1151555487914640463209, 20791777842234580902499
OFFSET
0,1
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
Sequence in context: A077280 A297436 A041147 * A212334 A354900 A354892
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved