A042665 Denominators of continued fraction convergents to sqrt(862).

1, 2, 3, 11, 14, 25, 239, 981, 2201, 5383, 12967, 18350, 104717, 123067, 596985, 1317037, 25620688, 206282541, 438185770, 644468311, 18483298478, 19127766789, 56738832056, 473038423237, 9044468873559, 18561976170355, 83292373554979, 101854349725334, 592564122181649

Offset

0,2

Links

Table of n, a(n) for n=0..28.

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, 716045132294624251006, 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) = 716045132294624251006*a(n-40) - a(n-80) for n>79. - Vincenzo Librandi, Jan 26 2012

Mathematica

Denominator[Convergents[Sqrt[862], 30]] (* Harvey P. Dale, Sep 10 2011 *)

Crossrefs

Cf. A040832, A042664.

Sequence in context: A293827 A145771 A042473 * A282235 A242821 A182709

Adjacent sequences: A042662 A042663 A042664 * A042666 A042667 A042668

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved