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A042343
Denominators of continued fraction convergents to sqrt(698).
2
1, 2, 5, 7, 12, 19, 31, 81, 193, 10117, 20427, 50971, 71398, 122369, 193767, 316136, 826039, 1968214, 103173167, 208314548, 519802263, 728116811, 1247919074, 1976035885, 3223954959, 8423945803, 20071846565, 1052159967183, 2124391780931, 5300943529045
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
G.f.: -(x^16 -2*x^15 +5*x^14 -7*x^13 +12*x^12 -19*x^11 +31*x^10 -81*x^9 +193*x^8 +81*x^7 +31*x^6 +19*x^5 +12*x^4 +7*x^3 +5*x^2 +2*x +1) / (x^18 +10198*x^9 -1). - Colin Barker, Dec 09 2013
MATHEMATICA
Denominator[Convergents[Sqrt[698], 30]] (* Vincenzo Librandi, Jan 20 2014 *)
CROSSREFS
Sequence in context: A350497 A117538 A001060 * A042691 A112732 A331529
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 09 2013
STATUS
approved