Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
Full-text PDF Free Access

Abstract | Similar Articles | Additional Information

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.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10A05

Retrieve articles in all journals with MSC: 10A05

Additional Information

Keywords: Pascal’s triangle, binomial coefficients, multinomial coefficients, <IMG WIDTH="16" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img5.gif" ALT="$p$">-adic valuations, equal product property, equal GCD-LCM property, crystallographic groups
Article copyright: © Copyright 1976 American Mathematical Society