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Triangular repunit-there is but 1

John H. Jaroma (2010)

Czechoslovak Mathematical Journal

In this paper, we demonstrate that 1 is the only integer that is both triangular and a repunit.

Tribonacci modulo 2 t and 11 t

Jiří Klaška (2008)

Mathematica Bohemica

Our previous research was devoted to the problem of determining the primitive periods of the sequences ( G n mod p t ) n = 1 where ( G n ) n = 1 is a Tribonacci sequence defined by an arbitrary triple of integers. The solution to this problem was found for the case of powers of an arbitrary prime p 2 , 11 . In this paper, which could be seen as a completion of our preceding investigation, we find solution for the case of singular primes p = 2 , 11 .

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