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Enumerating functions for nonnegative integer coordinates of L-dimensional vectors

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Abstract

The enumerating function C L(X 1,…, X L ), which bijectively maps tuples of length L of nonnegative integers to nonnegative integers Z = C L(X 1,…, X L ), is represented as a sum of L figurate numbers.

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References

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Authors and Affiliations

  1. Russian State Social University, Moscow, Russia

    S. L. Chernyshev

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  1. S. L. Chernyshev
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Correspondence to S. L. Chernyshev.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 1, pp. 147–155, 2009.

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Chernyshev, S.L. Enumerating functions for nonnegative integer coordinates of L-dimensional vectors. J Math Sci 166, 787–793 (2010). https://doi.org/10.1007/s10958-010-9895-z

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  • DOI: https://doi.org/10.1007/s10958-010-9895-z

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