On the Mersenne sequence
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Abstract
From Binet’s formula of Mersenne sequence we get some properties for
this sequence. Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are
considered in order to achieve some relations between them, sums and certain
products involving terms of these sequences. We also present some results
with matrices involving Mersenne numbers such as the generating matrix,
tridiagonal matrices and circulant type matrices