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