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A041070
Numerators of continued fraction convergents to sqrt(42).
2
6, 13, 162, 337, 4206, 8749, 109194, 227137, 2834838, 5896813, 73596594, 153090001, 1910676606, 3974443213, 49603995162, 103182433537, 1287793197606, 2678768828749, 33433019142594, 69544807113937
OFFSET
0,1
FORMULA
G.f.: -(x+1)*(x^2-7*x-6) / (x^4-26*x^2+1). - Colin Barker, Nov 04 2013
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[42], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 22 2011*)
Numerator[Convergents[Sqrt[42], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 26, 0, -1}, {6, 13, 162, 337}, 30] (* Harvey P. Dale, Aug 07 2019 *)
CROSSREFS
Sequence in context: A336046 A368633 A042285 * A248263 A201449 A205300
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved