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Tetranacci Constant

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

T=(x^4-x^3-x^2-x-1)_2
(1)
=1.92756...
(2)

(OEIS A086088), where (P(x))_n denotes a polynomial root.

The tetranacci constant satisfies the identity

T+T^(-4)=2.
(3)

See also

Tetranacci Number, Tribonacci Constant

This entry contributed by Jonathan Vos Post (author's link)

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References

Sloane, N. J. A. Sequence A086088 in "The On-Line Encyclopedia of Integer Sequences."Waddill, M. E. "The Tetranacci Sequence and Generalizations." Fib. Quart. 30, 9-20, 1992.Waddill, M. E. "Some Properties of the Tetranacci Sequence Modulo m." Fib. Quart. 30, 232-238, 1992.

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Tetranacci Constant

Cite this as:

Post, Jonathan Vos. "Tetranacci Constant." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TetranacciConstant.html

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