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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
OFFSET
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 *)
LinearRecurrence[{0, 326, 0, -1}, {18, 163, 5886, 53137}, 20] (* Harvey P. Dale, Aug 21 2020 *)
CROSSREFS
Cf. A041619.
Sequence in context: A128797 A008418 A099196 * A055915 A208827 A327792
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved