# Tribonacci number

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A member of the Tribonacci sequence. The formula for the th number is given by A. Shannon in [a1]:

Binet's formula for the th number is given by W. Spickerman in [a2]:

where

and is the complex conjugate of .

#### References

 [a1] A. Shannon, "Tribonacci numbers and Pascal's pyramid" The Fibonacci Quart. , 15 : 3 (1977) pp. 268; 275 [a2] W. Spickerman, "Binet's formula for the Tribonacci sequence" The Fibonacci Quart. , 15 : 3 (1977) pp. 268; 275
How to Cite This Entry:
Tribonacci number. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Tribonacci_number&oldid=17204
This article was adapted from an original article by Krassimir Atanassov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article