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A041312
Numerators of continued fraction convergents to sqrt(170).
3
13, 339, 8827, 229841, 5984693, 155831859, 4057613027, 105653770561, 2751055647613, 71633100608499, 1865211671468587, 48567136558791761, 1264610762200054373, 32928446953760205459, 857404231559965396307, 22325438467512860509441, 581318804386894338641773
OFFSET
0,1
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
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved