login
A041574
Numerators of continued fraction convergents to sqrt(305).
2
17, 35, 227, 489, 16853, 34195, 222023, 478241, 16482217, 33442675, 217138267, 467719209, 16119591373, 32706901955, 212361003103, 457428908161, 15764943880577, 31987316669315, 207688843896467, 447365004462249, 15418098995612933, 31283562995688115
OFFSET
0,1
FORMULA
G.f.: -(x+1)*(x^6-18*x^5+53*x^4-280*x^3-209*x^2-18*x-17) / (x^8-978*x^4+1). - Colin Barker, Nov 09 2013
MATHEMATICA
Numerator[Convergents[Sqrt[305], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 978, 0, 0, 0, -1}, {17, 35, 227, 489, 16853, 34195, 222023, 478241}, 30] (* Harvey P. Dale, May 14 2023 *)
CROSSREFS
Cf. A041575.
Sequence in context: A041570 A041572 A146729 * A144534 A041576 A116112
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
More terms from Colin Barker, Nov 09 2013
STATUS
approved