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 A042038 Numerators of continued fraction convergents to sqrt(543). 2
 23, 70, 233, 769, 1002, 14797, 15799, 62194, 202381, 669337, 30991883, 93644986, 311926841, 1029425509, 1341352350, 19808358409, 21149710759, 83257490686, 270922182817, 896024039137, 41488027983119, 125360107988494, 417568351948601, 1378065163834297 (list; graph; refs; listen; history; text; internal format)
 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, 1338674, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA G.f.: -(x^19 -23*x^18 +70*x^17 -233*x^16 +769*x^15 -1002*x^14 +14797*x^13 -15799*x^12 +62194*x^11 -202381*x^10 -669337*x^9 -202381*x^8 -62194*x^7 -15799*x^6 -14797*x^5 -1002*x^4 -769*x^3 -233*x^2 -70*x -23) / (x^20 -1338674*x^10 +1). - Colin Barker, Nov 30 2013 a(n) = 1338674*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 05 2022 MATHEMATICA Numerator[Convergents[Sqrt[543], 30]] (* Vincenzo Librandi, Nov 14 2013 *) CROSSREFS Cf. A042039, A040519. Sequence in context: A195039 A042036 A042034 * A116333 A042040 A073035 Adjacent sequences: A042035 A042036 A042037 * A042039 A042040 A042041 KEYWORD nonn,cofr,frac,easy,less AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Colin Barker, Nov 30 2013 STATUS approved

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Last modified May 28 01:06 EDT 2024. Contains 372900 sequences. (Running on oeis4.)