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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Simple proof that a $p$-adic Pascal’s triangle is $120\deg$ rotatable
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by Sin Hitotumatu and Daihachiro Sato PDF
Proc. Amer. Math. Soc. 59 (1976), 406-407 Request permission

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
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 59 (1976), 406-407
  • MSC: Primary 10A05
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0409325-3
  • MathSciNet review: 0409325