Weighted Tribonacci sums

Abstract

We derive various weighted summation identities, including binomial and double binomial identities, for Tribonacci numbers. Our results contain some previously known results as special cases.

arXiv comment9 pages, no figures

References in corpus (1)

• Weighted sums of some second-order sequences

Cited by in corpus (6)

• Basic properties of a generalized third order sequence of numbers
• Linear Properties of Generalized $n$-step Fibonacci Numbers
• Squares of Tribonacci numbers
• Squares of Fibonacci-Like Numbers
• New Tribonacci Recurrence Relations and Addition Formulas
• Weighted generalized Fibonacci sums