A376121 Continued fraction expansion of the real root of x^3 - 2*x^2 - 1.
2, 4, 1, 6, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 27, 1654, 1, 1, 6, 16, 7, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 3, 5, 3, 3, 1, 2, 3, 1, 2, 2, 197, 1, 8, 1, 1, 4, 1, 1, 3, 1, 5, 79, 1, 2, 1, 2, 15, 11, 2, 1, 3, 6, 4, 4, 17, 1, 12, 1, 1, 1, 1, 1, 1, 1, 3, 1, 7, 1, 1, 1, 1, 1, 7, 1, 2, 1, 6
Offset: 0
Examples
2 + 1/(4 + 1/(1 + 1/(6 + 1/(2 + ...)))) = 2.20556943040059031170202861...
Links
- Nicolas Boeglen, Table of n, a(n) for n = 0..10000
- Wikipedia, Supersilver ratio.
Crossrefs
Cf. A356035 (decimal expansion).
Programs
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Mathematica
ContinuedFraction[Root[#^3 - 2*#^2 - 1 &, 1], 100] (* Paolo Xausa, Oct 02 2024 *)
Comments