The tribonacci constant is ratio to which adjacent tribonacci numbers tend, and is given by
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(1) |
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(Sloane's A058265).
The tribonacci constant satisfies the identities
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(4) |
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(5) |
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(6) |
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(7) |
(P. Moses, pers. comm., Feb. 21, 2005).
The tribonacci constant is extremely prominent in the properties of the snub cube.
Sloane, N. J. A. Sequences A058265 in "The On-Line Encyclopedia of Integer Sequences." http://www.research.att.com/~njas/sequences/.