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A041080
Numerators of continued fraction convergents to sqrt(47).
2
6, 7, 41, 48, 617, 665, 3942, 4607, 59226, 63833, 378391, 442224, 5685079, 6127303, 36321594, 42448897, 545708358, 588157255, 3486494633, 4074651888, 52382317289, 56456969177, 334667163174, 391124132351, 5028156751386, 5419280883737, 32124561170071
OFFSET
0,1
FORMULA
G.f.: -(x^7-6*x^6+7*x^5-41*x^4-48*x^3-41*x^2-7*x-6) / (x^8-96*x^4+1). - Colin Barker, Nov 04 2013
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[47], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 22 2011*)
Numerator[Convergents[Sqrt[47], 30]] (* Harvey P. Dale, Oct 15 2013 *)
CROSSREFS
Sequence in context: A219212 A301904 A152119 * A042091 A047181 A080879
KEYWORD
nonn,cofr,easy,frac
EXTENSIONS
More terms from Colin Barker, Nov 04 2013
STATUS
approved