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arxiv: 1412.3181 · v1 · pith:RZ6DH4XBnew · submitted 2014-12-10 · 🧮 math.NT

A Digital Binomial Theorem

classification 🧮 math.NT
keywords binomialtheoremdigitalsierpinskitriangleconnectionsencodesfamily
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We present a triangle of connections between the Sierpinski triangle, the sum-of-digits function, and the Binomial Theorem via a one-parameter family of Sierpinski matrices, which encodes a digital version of the Binomial Theorem.

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