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A042624
Numerators of continued fraction convergents to sqrt(842).
3
29, 1683, 97643, 5664977, 328666309, 19068310899, 1106290698451, 64183928821057, 3723774162319757, 216043085343366963, 12534222724077603611, 727200961081844376401, 42190189965471051434869, 2447758218958402827598803
OFFSET
0,1
FORMULA
a(n) = 58*a(n-1)+a(n-2) for n>1; a(0)=29, a(1)=1683. G.f.: (29+x)/(1-58*x-x^2). [Philippe Deléham, Nov 23 2008]
MATHEMATICA
Numerator[Convergents[Sqrt[842], 20]] (* or *) LinearRecurrence[{58, 1}, {29, 1683}, 20] (* Harvey P. Dale, Sep 24 2013 *)
CoefficientList[Series[(29 + x)/(1 - 58 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 30 2013 *)
CROSSREFS
Cf. A042625.
Sequence in context: A028478 A370679 A042627 * A190826 A045688 A084223
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved