A042901 Denominators of continued fraction convergents to sqrt(982).

1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068, 310691245, 626366558, 937057803, 28738100648, 29675158451, 88088417550, 5491157046551, 11070402510652, 16561559557203, 507917189226742, 524478748783945, 1556874686794632, 97050709330051129

Offset

0,2

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, 17674, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^10-2*x^9+3*x^8-92*x^7+95*x^6-282*x^5-95*x^4-92*x^3-3*x^2-2*x-1) / (x^12-17674*x^6+1). - Colin Barker, Dec 25 2013

a(n) = 17674*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Feb 01 2014

Mathematica

Denominator[Convergents[Sqrt[982], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

Prog

(Magma) I:=[1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068]; [n le 12 select I[n] else 17674*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Feb 01 2014

Crossrefs

Cf. A042900, A040950.

Sequence in context: A356788 A224934 A299691 * A356796 A356786 A002983

Adjacent sequences: A042898 A042899 A042900 * A042902 A042903 A042904

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved