A042054 Numerators of continued fraction convergents to sqrt(551).

23, 47, 399, 446, 3967, 8380, 389447, 787274, 6687639, 7474913, 66486943, 140448799, 6527131697, 13194712193, 112084829241, 125279541434, 1114321160713, 2353921862860, 109394726852273, 221143375567406, 1878541731391521, 2099685106958927, 18676022587062937

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, 16760, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -23*x^10 +47*x^9 -399*x^8 +446*x^7 -3967*x^6 -8380*x^5 -3967*x^4 -446*x^3 -399*x^2 -47*x -23) / (x^12 -16760*x^6 +1). - Colin Barker, Nov 30 2013

a(n) = 16760*a(n-6) - a(n-12). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Numerator[Convergents[Sqrt[551], 30]] (* Vincenzo Librandi, Nov 14 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 16760, 0, 0, 0, 0, 0, -1}, {23, 47, 399, 446, 3967, 8380, 389447, 787274, 6687639, 7474913, 66486943, 140448799}, 30] (* Harvey P. Dale, Feb 11 2022 *)

Crossrefs

Cf. A042055, A040527.

Sequence in context: A054203 A247673 A216569 * A084667 A255596 A157358

Adjacent sequences: A042051 A042052 A042053 * A042055 A042056 A042057

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 30 2013

Status

approved