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A041424
Numerators of continued fraction convergents to sqrt(228).
2
15, 151, 4545, 45601, 1372575, 13771351, 414513105, 4158902401, 125181585135, 1255974753751, 37804424197665, 379300216730401, 11416810926109695, 114547409477827351, 3447839095260930225
OFFSET
0,1
FORMULA
G.f.: -(x^3-15*x^2-151*x-15)/(x^4-302*x^2+1). - Vincenzo Librandi, Nov 02 2013
MATHEMATICA
Numerator[Convergents[Sqrt[228], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CoefficientList[Series[-(x^3 - 15 x^2 - 151 x - 15)/(x^4 - 302 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)
LinearRecurrence[{0, 302, 0, -1}, {15, 151, 4545, 45601}, 20] (* Harvey P. Dale, Jun 10 2024 *)
CROSSREFS
Cf. A041425.
Sequence in context: A206366 A016103 A206361 * A021124 A004322 A125403
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved