Pascal's triangle: Difference between revisions

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To arbitrary bases: clarified modular congruence notation
To arbitrary bases: refined congruence phrasing
 
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| doi = 10.5802/ambp.211
| url = https://ambp.centre-mersenne.org/item/10.5802/ambp.211.pdf
}}.</ref> as demonstrated [[#Binomial expansions|above]]. Thus, when the entries of the row are concatenated and read in radix <math>a</math> they form the numerical equivalent of <math>(a + 1)^{n} = 11^{n}_{a}</math>. If <math>c = a + 1</math> for <math>c < 0</math>, then the theorem [[Negative base|holds]] for <math>a \bmod 2c</math>, wherewith <math>a</math> =congruent to <math>\{c - 1, -(c + 1)\}</math>, and with odd values of <math>n</math> [[Negative number#Multiplication|yielding]] negative row products.<ref>{{cite book
| display-authors = etal
| last = Hilton | first = P.