The 2-adic Order of the Tribonacci Numbers and the Equation Tn = m!
Departamento de Matemàtica
Universidade de Brasília
1600 Campus Road
Los Angeles, CA 90041
Let (Tn)n ≥ 0
be the Tribonacci sequence defined by the recurrence
T0 = 0 and
T2 = 1.
In this paper, we
characterize the 2-adic valuation of
and, as an application, we completely
solve the Diophantine equation
Tn = m!.
Full version: pdf,
(Concerned with sequences
Received June 30 2014;
revised version received October 1 2014.
Published in Journal of Integer Sequences, October 3 2014.
Journal of Integer Sequences home page