Sums of Squares and Products of Jacobsthal Numbers
Department of Mathematics
University of Zagreb
Zagreb 10 000
We consider sums of squares of odd and even
terms of the Jacobsthal sequence and sums of
their products. We also study the analogous alternating sums.
These sums are related to
products of appropriate Jacobsthal numbers and
several integer sequences. The formulas that
we discover show that a certain translation
property for these sums holds, so that in
practice, only sums of initial values
and the information where the
summation begins are necessary.
Full version: pdf,
(Concerned with sequences
Received May 17 2006;
revised version received January 19 2007.
Published in Journal of Integer Sequences, January 19 2007.
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