FORMULAS FOR BINOMIAL DOUBLE SUMS RELATED TO LUCAS NUMBERS

Tasdemir F., Toska T. G.

ARS COMBINATORIA, cilt.152, ss.235-246, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152
  • Basım Tarihi: 2020
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.235-246
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we present some new sums and alternating sums of Lucas numbers with binomial coefficients. These sums have nice representations as products of Fibonacci and Lucas numbers. We use the Binomial theorem, the Binet formulas for Fibonacci and Lucas numbers and some new Fibonacci-Lucas identities to prove the results.