SOME INTERESTING CONGRUENCES FOR BALLOT NUMBERS

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ÖMÜR N., KOPARAL S.

MISKOLC MATHEMATICAL NOTES, cilt.19, sa.2, ss.1079-1094, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.18514/mmn.2018.1222
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1079-1094
  • Anahtar Kelimeler: congruences, binomial coefficients, Ballot numbers
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

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,