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A041098
Numerators of continued fraction convergents to sqrt(57).
2
7, 8, 15, 68, 83, 151, 2197, 2348, 4545, 20528, 25073, 45601, 663487, 709088, 1372575, 6199388, 7571963, 13771351, 200370877, 214142228, 414513105, 1872194648, 2286707753, 4158902401, 60511341367
OFFSET
0,1
LINKS
FORMULA
a(n) = 302*a(n-6)-a(n-12). G.f.: -(x^11-7*x^10+8*x^9-15*x^8+68*x^7-83*x^6-151*x^5-83*x^4-68*x^3-15*x^2-8*x-7)/(x^12-302*x^6+1). [Colin Barker, Jul 18 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[57], 30]] (* Vincenzo Librandi, Oct 25 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 302, 0, 0, 0, 0, 0, -1}, {7, 8, 15, 68, 83, 151, 2197, 2348, 4545, 20528, 25073, 45601}, 30] (* Harvey P. Dale, Jul 22 2016 *)
CROSSREFS
Sequence in context: A066971 A084377 A041675 * A041427 A042755 A093083
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved