A041434 - OEIS

A041434

Numerators of continued fraction convergents to sqrt(233).

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

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

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

Cf. A041435, A040217.

Sequence in context: A267079 A290583 A033480 * A136430 A139278 A041436

Adjacent sequences: A041431 A041432 A041433 * A041435 A041436 A041437

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved