Nereis. Interdisciplinary Ibero-American Journal of Methods, Modelling and Simulation.


Efficient numerical evaluation of weak restricted compositions



We propose an algorithm to calculate the number of weak compositions, wherein each part is restricted to a different range of integers. This algorithm performs different orders of approximation up to the exact solution by using the Inclusion-Exclusion Principle. The great advantage of it with respect to the classical generating function technique is that the calculation is exponentially faster as the size of the numbers involved increases.


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