A041979 Denominators of continued fraction convergents to sqrt(512).
1, 1, 2, 3, 8, 51, 569, 3465, 7499, 10964, 18463, 29427, 1313251, 1342678, 2655929, 3998607, 10653143, 67917465, 757745258, 4614389013, 9986523284, 14600912297, 24587435581, 39188347878, 1748874742213, 1788063090091, 3536937832304, 5325000922395
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1331714,0,0,0,0,0,0,0,0,0,0,0,-1).
Programs
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Mathematica
Denominator[Convergents[Sqrt[512], 30]] (* Vincenzo Librandi, Jan 11 2014 *)
Formula
G.f.: -(x^22 -x^21 +2*x^20 -3*x^19 +8*x^18 -51*x^17 +569*x^16 -3465*x^15 +7499*x^14 -10964*x^13 +18463*x^12 -29427*x^11 -18463*x^10 -10964*x^9 -7499*x^8 -3465*x^7 -569*x^6 -51*x^5 -8*x^4 -3*x^3 -2*x^2 -x -1) / ((x^6 -34*x^3 +1)*(x^6 +34*x^3 +1)*(x^12 +1154*x^6 +1)). - Colin Barker, Nov 28 2013
Extensions
More terms from Colin Barker, Nov 28 2013