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A041618 Numerators of continued fraction convergents to sqrt(328). 2
18, 163, 5886, 53137, 1918818, 17322499, 625528782, 5647081537, 203920464114, 1840931258563, 66477445772382, 600137943210001, 21671443401332418, 195643128555201763, 7064824071388595886 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,326,0,-1).

FORMULA

a(n) = 326*a(n-2)-a(n-4). G.f.: -(x^3-18*x^2-163*x-18)/((x^2-18*x-1)*(x^2+18*x-1)). [Colin Barker, Jul 16 2012]

MATHEMATICA

CoefficientList[Series[- (x^3 - 18 x^2 - 163 x - 18)/((x^2 - 18 x - 1) (x^2 + 18 x - 1)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 27 2013 *)

CROSSREFS

Cf. A041619.

Sequence in context: A128797 A008418 A099196 * A055915 A208827 A327792

Adjacent sequences:  A041615 A041616 A041617 * A041619 A041620 A041621

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 14 18:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)