ARS COMBINATORIA, vol.138, pp.223-231, 2018 (SCI-Expanded)
Article / Article
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Binary linear recurrences, binomial sums, closed formula, operator, LUCAS-NUMBERS, POWERS, SUMS, FIBONACCI
Bursa Uludag University Affiliated:
In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with the generalized Fibonacci and Lucas numbers including both falling factorials and powers of indices. Furthermore we will derive closed formulae for weighted binomial sums including odd powers of the generalized Fibonacci and Lucas numbers.