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A041434
Numerators of continued fraction convergents to sqrt(233).
2
15, 46, 61, 229, 290, 519, 809, 1328, 4793, 6121, 23156, 700801, 2125559, 2826360, 10604639, 13430999, 24035638, 37466637, 61502275, 221973462, 283475737, 1072400673, 32455495927, 98438888454, 130894384381, 491122041597, 622016425978, 1113138467575
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
G.f.: -(x^21 -15*x^20 +46*x^19 -61*x^18 +229*x^17 -290*x^16 +519*x^15 -809*x^14 +1328*x^13 -4793*x^12 +6121*x^11 +23156*x^10 +6121*x^9 +4793*x^8 +1328*x^7 +809*x^6 +519*x^5 +290*x^4 +229*x^3 +61*x^2 +46*x +15) / (x^22 +46312*x^11 -1). - Colin Barker, Nov 17 2013
MATHEMATICA
Numerator[Convergents[Sqrt[233], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
CROSSREFS
Sequence in context: A267079 A290583 A033480 * A136430 A139278 A041436
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 17 2013
STATUS
approved