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A041218 Numerators of continued fraction convergents to sqrt(120). 2
10, 11, 230, 241, 5050, 5291, 110870, 116161, 2434090, 2550251, 53439110, 55989361, 1173226330, 1229215691, 25757540150, 26986755841, 565492656970, 592479412811, 12415080913190, 13007560326001 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
a(n) = 22*a(n-2)-a(n-4). G.f.: (10+11*x+10*x^2-x^3)/(1-22*x^2+x^4). [Colin Barker, Jul 15 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[120], 30]] (* Vincenzo Librandi, Oct 26 2013 *)
LinearRecurrence[{0, 22, 0, -1}, {10, 11, 230, 241}, 20] (* Harvey P. Dale, Jun 08 2018 *)
CROSSREFS
Cf. A041219.
Sequence in context: A335801 A363835 A041217 * A300458 A041917 A318089
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)