A042094 Numerators of continued fraction convergents to sqrt(571).

23, 24, 215, 239, 454, 1147, 1601, 2748, 4349, 67983, 208298, 484579, 692877, 4641841, 33185764, 37827605, 184496184, 406819973, 1404956103, 6026644385, 13458244873, 315566276464, 644590797801, 2893929467668

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 362248710123261572260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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) = 362248710123261572260*a(n-42) - a(n-84) for n>83. [Bruno Berselli, Nov 16 2013]

Mathematica

Numerator[Convergents[Sqrt[571], 30]] (* Vincenzo Librandi, Nov 16 2013 *)

Crossrefs

Cf. A042095.

Sequence in context: A042086 A042090 A042092 * A042096 A042098 A041263

Adjacent sequences: A042091 A042092 A042093 * A042095 A042096 A042097

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved