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A042044 Numerators of continued fraction convergents to sqrt(546). 2
23, 47, 70, 187, 257, 701, 32503, 65707, 98210, 262127, 360337, 982801, 45569183, 92121167, 137690350, 367501867, 505192217, 1377886301, 63887962063, 129153810427, 193041772490, 515237355407, 708279127897 (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 (0,0,0,0,0,1402,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 - 23*x^10 + 47*x^9 - 70*x^8 + 187*x^7 -257*x^6 - 701*x^5 - 257*x^4 - 187*x^3 - 70*x^2 - 47*x - 23)/(x^12 - 1402*x^6 + 1). - Vincenzo Librandi, Nov 13 2013

a(n) = 1402*a(n-6) - a(n-12). - Vincenzo Librandi, Nov 14 2013

MATHEMATICA

Numerator[Convergents[Sqrt[546], 30]] (* or *) CoefficientList[Series[-(x^11 - 23 x^10 + 47 x^9 - 70 x^8 + 187 x^7 - 257 x^6 - 701 x^5 - 257 x^4 - 187 x^3 - 70 x^2 - 47 x - 23)/(x^12 - 1402 x^6 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 14 2013 *)

PROG

(MAGMA) I:=[23, 47, 70, 187, 257, 701, 32503, 65707, 98210, 262127, 360337, 982801]; [n le 12 select I[n] else 1402*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Nov 14 2013

CROSSREFS

Cf. A042045.

Sequence in context: A201019 A244092 A042046 * A042042 A130063 A183010

Adjacent sequences:  A042041 A042042 A042043 * A042045 A042046 A042047

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 17 02:33 EST 2019. Contains 320200 sequences. (Running on oeis4.)