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A041922 Numerators of continued fraction convergents to sqrt(483). 2
21, 22, 945, 967, 41559, 42526, 1827651, 1870177, 80375085, 82245262, 3534676089, 3616921351, 155445372831, 159062294182, 6836061728475, 6995124022657, 300631270680069, 307626394702726, 13220939848194561 (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 (0,44,0,-1).

FORMULA

G.f.: -(x^3-21*x^2-22*x-21)/(x^4-44*x^2+1). - Vincenzo Librandi, Nov 12 2013

a(n) = 44*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 12 2013

MATHEMATICA

Numerator[Convergents[Sqrt[483], 30]] (* or *) CoefficientList[Series[-(x^3 - 21 x^2 - 22 x - 21)/(x^4 - 44 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 12 2013 *)

PROG

(MAGMA) I:=[21, 22, 945, 967]; [n le 4 select I[n] else 44*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 12 2013

CROSSREFS

Cf. A041923.

Sequence in context: A041219 A041920 A041921 * A104669 A156891 A095459

Adjacent sequences:  A041919 A041920 A041921 * A041923 A041924 A041925

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 12 22:01 EST 2019. Contains 329079 sequences. (Running on oeis4.)