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A041552 Numerators of continued fraction convergents to sqrt(294). 2
17, 103, 120, 583, 703, 4801, 163937, 988423, 1152360, 5597863, 6750223, 46099201, 1574123057, 9490837543, 11064960600, 53750679943, 64815640543, 442644523201, 15114729429377, 91131021099463, 106245750528840, 516114023214823, 622359773743663 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,9602,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^11 -17*x^10 +103*x^9 -120*x^8 +583*x^7 -703*x^6 -4801*x^5 -703*x^4 -583*x^3 -120*x^2 -103*x -17) / ((x^6 -98*x^3 +1)*(x^6 +98*x^3 +1)). - Colin Barker, Nov 08 2013
MATHEMATICA
Numerator[Convergents[Sqrt[294], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 9602, 0, 0, 0, 0, 0, -1}, {17, 103, 120, 583, 703, 4801, 163937, 988423, 1152360, 5597863, 6750223, 46099201}, 30] (* Harvey P. Dale, Aug 11 2021 *)
CROSSREFS
Cf. A041553.
Sequence in context: A022677 A275919 A229425 * A160767 A078625 A254757
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 08 2013
STATUS
approved

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Last modified September 22 03:20 EDT 2023. Contains 365503 sequences. (Running on oeis4.)