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- W3159129335 abstract "For positive integers n and p, we give a short proof of a formula expressing np as a linear combination of figurate numbers with coefficients given by the numbers cp,l of (p−l)-dimensional facets of p-dimensional simplices obtained by cutting a p-dimensional cube, where l=0,1,…,p−1. This formula was formulated as Conjecture 16 in F. Marko and S. Litvinov (2020), Geometry of figurate numbers and sums of powers of consecutive natural numbers, this Monthly, 127(1): 4–22." @default.
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- W3159129335 date "2021-04-27" @default.
- W3159129335 modified "2023-10-10" @default.
- W3159129335 title "A Note on the Geometry of Figurate Numbers" @default.
- W3159129335 cites W2994733743 @default.
- W3159129335 doi "https://doi.org/10.1080/00029890.2021.1895660" @default.
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