A041108 Numerators of continued fraction convergents to sqrt(62).
7, 8, 55, 63, 937, 1000, 6937, 7937, 118055, 125992, 874007, 999999, 14873993, 15873992, 110117945, 125991937, 1874005063, 1999997000, 13873987063, 15873984063, 236109763945, 251983748008, 1748012251993, 1999996000001, 29747956252007, 31747952252008
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,0,0,126,0,0,0,-1).
Programs
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Mathematica
Numerator[Convergents[Sqrt[62],30]] (* Harvey P. Dale, Aug 11 2011 *)
Formula
G.f.: -(x^7-7*x^6+8*x^5-55*x^4-63*x^3-55*x^2-8*x-7) / (x^8-126*x^4+1). - Colin Barker, Nov 05 2013
Extensions
More terms from Colin Barker, Nov 05 2013