Title of article
Pascalʹs Triangle (mod 8)
Author/Authors
Huard، نويسنده , , James G. and Spearman، نويسنده , , Blair K. and Williams، نويسنده , , Kenneth S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
18
From page
45
To page
62
Abstract
Lucasʹ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. J. Combinatorics,11(1990), 229–233) extended Lucasʹ theorem to a prime power modulus. Making use of their result, we count the number of times each residue class occurs in thenth row of Pascalʹs triangle (mod 8). Our results correct and extend those of Granville (Amer. Math. Monthly,99(1992), 318–331).
Journal title
European Journal of Combinatorics
Serial Year
1998
Journal title
European Journal of Combinatorics
Record number
1545703
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