SOME INTERESTING CONGRUENCES FOR BALLOT NUMBERS

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ÖMÜR N., KOPARAL S.

MISKOLC MATHEMATICAL NOTES, vol.19, no.2, pp.1079-1094, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.18514/mmn.2018.1222
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1079-1094
  • Keywords: congruences, binomial coefficients, Ballot numbers
  • Bursa Uludag University Affiliated: No

Abstract

In this paper, we determine the sums Sigma(k=0) (n-1) ((2k+d)(k))/x(k), Sigma(k=0) (n-1) k((2k+d)(k))/x(k) and some congruences can be obtained by using them. For example, for an odd prime p not equal 5,