A042655 Denominators of continued fraction convergents to sqrt(857).

1, 3, 4, 7, 11, 40, 51, 346, 397, 743, 4855, 5598, 21649, 27247, 48896, 76143, 277325, 16160993, 48760304, 64921297, 113681601, 178602898, 649490295, 828093193, 5618049453, 6446142646, 12064192099, 78831295240, 90895487339, 351517757257, 442413244596

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, 0, 0, 0, 16237136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 16237136*a(n-17) + a(n-34) for n>33. - Vincenzo Librandi, Jan 26 2014

Mathematica

Denominator[Convergents[Sqrt[857], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A040827, A042654.

Sequence in context: A002364 A042827 A041631 * A041901 A111518 A291853

Adjacent sequences: A042652 A042653 A042654 * A042656 A042657 A042658

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved