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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,26,0,-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

Cf. A041071, A010496.

Sequence in context: A292121 A236250 A042285 * A248263 A201449 A205300

Adjacent sequences:  A041067 A041068 A041069 * A041071 A041072 A041073

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 22 16:37 EDT 2019. Contains 326179 sequences. (Running on oeis4.)