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A041170
Numerators of continued fraction convergents to sqrt(95).
2
9, 10, 29, 39, 731, 770, 2271, 3041, 57009, 60050, 177109, 237159, 4445971, 4683130, 13812231, 18495361, 346728729, 365224090, 1077176909, 1442400999, 27040394891, 28482795890, 84005986671
OFFSET
0,1
FORMULA
G.f.: (9 +10*x +29*x^2 +39*x^3 +29*x^4 -10*x^5 +9*x^6 -x^7) / (1 -78*x^4 +x^8). [Bruno Berselli, Oct 30 2013]
MATHEMATICA
Numerator[Convergents[Sqrt[95], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 0, 0, 78, 0, 0, 0, -1}, {9, 10, 29, 39, 731, 770, 2271, 3041}, 30] (* Harvey P. Dale, Dec 30 2020 *)
CROSSREFS
Sequence in context: A111033 A123048 A189047 * A041168 A042635 A045483
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved