A042727 Denominators of continued fraction convergents to sqrt(893).

1, 1, 8, 9, 17, 77, 1095, 1172, 3439, 4611, 8050, 20711, 28761, 49472, 127705, 177177, 2608183, 10609909, 13218092, 23828001, 180014099, 203842100, 12002855899, 12206697999, 97449741892, 109656439891, 207106181783, 938081167023, 13340242520105, 14278323687128

Offset

0,3

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, 0, 0, 0, 0, 0, 12182869998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 12182869998*a(n-22) - a(n-44) for n>43. - Vincenzo Librandi, Jan 27 2014

Mathematica

Denominator[Convergents[Sqrt[893], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

Crossrefs

Cf. A042726, A040863.

Sequence in context: A041132 A020693 A042753 * A041128 A041551 A356699

Adjacent sequences: A042724 A042725 A042726 * A042728 A042729 A042730

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 27 2014

Status

approved