Partial sums of Horadam sequences: sum-free representations via generating functions

2021/12/05 by Prodinger, Helmut
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2112.02533

Abstract

Horadam sequences and their partial sums are computed via generating functions. The results are as simple as possible.

Related

• Partial sums and generating functions for powers of second order sequences with indices in arithmetic progression
• Reciprocal series involving Horadam numbers
• A note on sum of k-th power of Horadam's sequence
• A master identity for Horadam numbers
• Multiple sums involving the terms of a general second order sequence of numbers