Tribonacci Constant

The tribonacci constant is ratio to which adjacent tribonacci numbers tend, and is given by

=1/3(1+RadicalBox[{19, -, 3, {sqrt(, 33, )}}, 3]+RadicalBox[{19, +, 3, {sqrt(, 33, )}}, 3])

(OEIS A058265).

The tribonacci constant satisfies the identities


(P. Moses, pers. comm., Feb. 21, 2005).

The tribonacci constant is extremely prominent in the properties of the snub cube.

See also

Hard Hexagon Entropy Constant, Snub Cube, Tetranacci Constant, Tribonacci Number

Explore with Wolfram|Alpha


Finch, S. R. Mathematical Constants. Cambridge, England: Cambridge University Press, p. 9, 2003.Sloane, N. J. A. Sequence A058265 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Tribonacci Constant

Cite this as:

Weisstein, Eric W. "Tribonacci Constant." From MathWorld--A Wolfram Web Resource.

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