A formula for the number of non-negative integer solutions of a1x1 + a2x2 + ··· + amxm = n in terms of the partial Bell polynomials
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Published:2021-06
Issue:2
Volume:27
Page:64-69
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Abstract
We derive a formula for the number of non-negative integer solutions of the equation $a_1x_1 + a_2x_2 + \cdots + a_mx_m = n$ in terms of the partial Bell polynomials via the Faa di Bruno’s formula.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Cited by
1 articles.
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