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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 (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, 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

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Last modified July 19 22:34 EDT 2024. Contains 374441 sequences. (Running on oeis4.)