Tribonacci Numbers and the Brocard-Ramanujan Equation
Vinícius Facó and Diego Marques
Departamento de Matemática
Universidade de Brasília
be the Tribonacci sequence defined by
the recurrence Tn+2 =
T0 = 0 and
T1 = T2 = 1.
In this short note, we prove that there are no integer solutions
(u, m) to the
Brocard-Ramanujan equation m! + 1 = u2
where u is a Tribonacci number.
Full version: pdf,
(Concerned with sequences
Received December 22 2015; revised versions received March 15 2016; April 26 2016.
Published in Journal of Integer Sequences, April 26 2016.
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