تسجيل الدخول

تسجيل

Tribonacci Constant

المؤلف:  Finch, S. R.

المصدر:  Mathematical Constants. Cambridge, England: Cambridge University Press

الجزء والصفحة:  ...

9-12-2020

1772

Tribonacci Constant

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

			(1)
		{19, -, 3, {sqrt(, 33, )}}, 3]+RadicalBox[{19, +, 3, {sqrt(, 33, )}}, 3])" src="https://mathworld.wolfram.com/images/equations/TribonacciConstant/Inline6.gif" style="height:36px; width:236px" />	(2)
			(3)

(OEIS A058265).

The tribonacci constant satisfies the identities

			(4)
			(5)
			(6)
			(7)

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

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

---

REFERENCES:

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."