A042933 Denominators of continued fraction convergents to sqrt(998).
1, 1, 2, 5, 22, 181, 203, 790, 993, 30580, 31573, 125299, 156872, 1380275, 5677972, 12736219, 18414191, 31150410, 1949739611, 1980890021, 3930629632, 9842149285, 43299226772, 356235963461, 399535190233, 1554841534160, 1954376724393, 60186143265950, 62140519990343
Offset: 0
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, 1968153802, 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[998], 30]] (* Vincenzo Librandi, Feb 01 2014 *)
Formula
a(n) = 1968153802*a(n-18) - a(n-36) for n > 35. - Vincenzo Librandi, Feb 01 2014
Extensions
More terms from Vincenzo Librandi, Feb 01 2014