Journal of Integer Sequences, Vol. 10 (2007), Article 07.2.5

Sums of Squares and Products of Jacobsthal Numbers

Zvonko Čerin
Department of Mathematics
University of Zagreb
Bijenička 30
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.

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(Concerned with sequences A001045 and A014551 .)

Received May 17 2006; revised version received January 19 2007. Published in Journal of Integer Sequences, January 19 2007.

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