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arxiv: 1601.05794 · v1 · pith:CCOTK2WZnew · submitted 2016-01-21 · 🧮 math.CO

Proof of bijection for combinatorial number system

classification 🧮 math.CO
keywords numberbinomialcoefficientscombinatorialnaturalnon-negativeproofsystem
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Combinatorial number system represents a non-negative natural numbers as sum of binomial coefficients. This paper presents an induction proof that there exists unique representation of every non-negative natural number $m$ as sum of $r$ binomial coefficients.

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