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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Simple proof that a $ p$-adic Pascal's triangle is $ 120\deg $ rotatable


Authors: Sin Hitotumatu and Daihachiro Sato
Journal: Proc. Amer. Math. Soc. 59 (1976), 406-407
MSC: Primary 10A05
MathSciNet review: 0409325
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Abstract: An array of numbers which is obtained by the replacement of binomial or multinomial coefficients by their $ p$-adic valuation is not only parallel translatable but also 120$ ^\circ$ rotatable, without changing its configuration in the Pascal's triangle.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0409325-3
PII: S 0002-9939(1976)0409325-3
Keywords: Pascal's triangle, binomial coefficients, multinomial coefficients, $ p$-adic valuations, equal product property, equal GCD-LCM property, crystallographic groups
Article copyright: © Copyright 1976 American Mathematical Society