A042684 Numerators of continued fraction convergents to sqrt(872).

29, 30, 59, 443, 502, 6969, 7471, 59266, 66737, 126003, 7374911, 7500914, 14875825, 111631689, 126507514, 1756229371, 1882736885, 14935387566, 16818124451, 31753512017, 1858521821437, 1890275333454, 3748797154891, 28131855417691, 31880652572582

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, 252006, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -29*x^18 +30*x^17 -59*x^16 +443*x^15 -502*x^14 +6969*x^13 -7471*x^12 +59266*x^11 -66737*x^10 -126003*x^9 -66737*x^8 -59266*x^7 -7471*x^6 -6969*x^5 -502*x^4 -443*x^3 -59*x^2 -30*x -29) / ((x^10 -502*x^5 -1)*(x^10 +502*x^5 -1)). - Colin Barker, Dec 21 2013

a(n) = 252006*a(n-10) - a(n-20). - Wesley Ivan Hurt, Apr 16 2023

Mathematica

Numerator/@Convergents[Sqrt[872], 30] (* Harvey P. Dale, May 02 2011 *)

Crossrefs

Cf. A042685, A040842.

Sequence in context: A042692 A042688 A042686 * A042682 A042706 A042708

Adjacent sequences: A042681 A042682 A042683 * A042685 A042686 A042687

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 21 2013

Status

approved