A042891 Denominators of continued fraction convergents to sqrt(977).

1, 3, 4, 35, 179, 214, 393, 1393, 10144, 11537, 21681, 163304, 511593, 674897, 1186490, 6607347, 54045266, 60652613, 236003105, 14692845123, 44314538474, 59007383597, 516373607250, 2640875419847, 3157249027097

Offset

0,2

Comments

The Hankel transform (see A001906 for definition) of this sequence forms the sequence A047656(n+1)= [1,3,27,729,59049,14348907,...] . - Philippe Deléham, Aug 29 2006

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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, 14753497736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

The Hankel transform (see A001906 for definition) of this sequence forms the sequence A047656(n+1)= [1,3,27,729,59049,14348907,...]. - Philippe Deléham, Aug 29 2006

a(n) = 14753497736*a(n-19) - a(n-38) for n > 37. - Vincenzo Librandi, Jan 31 2014

Mathematica

Denominator[Convergents[Sqrt[977], 40]] (* Harvey P. Dale, May 09 2012 *)

Crossrefs

Cf. A042890, A040945.

Sequence in context: A078504 A066090 A251259 * A032835 A102920 A064335

Adjacent sequences: A042888 A042889 A042890 * A042892 A042893 A042894

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Status

approved