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In this note we consider several kind of partition functions ofone-dimensional models with nearest - neighbor interactions $I_n, n\in\mathbf{Z}$ and spin values $\pm 1$. We derive systems of recursive equationsfor each kind of such functions. These systems depend on parameters $I_n, n\in\mathbf{Z}$. Under some conditions on the parameters we describe solutions ofthe systems of recursive equations.

System of recursive equations for the partition functions of 1D models