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A041193 Denominators of continued fraction convergents to sqrt(107). 3
1, 2, 3, 29, 32, 93, 1892, 3877, 5769, 55798, 61567, 178932, 3640207, 7459346, 11099553, 107355323, 118454876, 344265075, 7003756376, 14351777827, 21355534203, 206551585654, 227907119857, 662365825368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1924,0,0,0,0,0,-1).

FORMULA

a(n) = 1924*a(n-6)-a(n-12). G.f.: -(x^10-2*x^9+3*x^8-29*x^7+32*x^6 -93*x^5 -32*x^4-29*x^3-3*x^2-2*x-1) / (x^12-1924*x^6+1). - Colin Barker, Jul 19 2012

MATHEMATICA

Denominator[Convergents[Sqrt[107], 30]] (* or *) LinearRecurrence[ {0, 0, 0, 0, 0, 1924, 0, 0, 0, 0, 0, -1}, {1, 2, 3, 29, 32, 93, 1892, 3877, 5769, 55798, 61567, 178932}, 30] (* Harvey P. Dale, Aug 30 2013 *)

CoefficientList[Series[- (x^10 - 2 x^9 + 3 x^8 - 29 x^7 + 32 x^6 - 93 x^5 - 32 x^4 - 29 x^3 - 3 x^2 - 2 x - 1)/(x^12 - 1924 x^6 + 1), {x, 0, 30}], x]  (* Vincenzo Librandi, Oct 24 2013 *)

CROSSREFS

Cf. A041192 (numerators), A010173 (continued fraction), A177935 (decimal expansion).

Sequence in context: A081332 A106868 A098419 * A042335 A218995 A284649

Adjacent sequences:  A041190 A041191 A041192 * A041194 A041195 A041196

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 21:56 EDT 2021. Contains 348070 sequences. (Running on oeis4.)