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A041146
Numerators of continued fraction convergents to sqrt(83).
2
9, 82, 1485, 13447, 243531, 2205226, 39937599, 361643617, 6549522705, 59307347962, 1074081786021, 9726043422151, 176142863384739, 1595011813884802, 28886355513311175, 261572211433685377, 4737186161319647961, 42896247663310517026, 776869644100908954429
OFFSET
0,1
FORMULA
G.f.: -(x^3-9*x^2-82*x-9) / (x^4-164*x^2+1). - Colin Barker, Nov 05 2013
MATHEMATICA
Numerator[Convergents[Sqrt[83], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 164, 0, -1}, {9, 82, 1485, 13447}, 20] (* Harvey P. Dale, Apr 12 2022 *)
CROSSREFS
Sequence in context: A338663 A308668 A308481 * A320991 A015497 A174472
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved