A042429 Denominators of continued fraction convergents to sqrt(742).

1, 4, 21, 25, 121, 993, 1114, 7677, 8791, 78005, 320811, 398816, 2314891, 9658380, 523867411, 2105128024, 11049507531, 13154635555, 63668049751, 522499033563, 586167083314, 4039501533447, 4625668616761, 41044850467535, 168805070486901

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, 0, 0, 0, 0, 0, 0, 0, 0, 526182302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 526182302*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 22 2014

Mathematica

Denominator[Convergents[Sqrt[742], 30]] (* Vincenzo Librandi, Jan 22 2014 *)

Crossrefs

Cf. A040714, A042428.

Sequence in context: A272954 A133784 A041821 * A356357 A276400 A376222

Adjacent sequences: A042426 A042427 A042428 * A042430 A042431 A042432

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 22 2014

Status

approved