Sum of Consecutive Terms of Pell and Related Sequences

Navvye Anand, Amit Kumar Basistha, Kenny B. Davenport +4

We study new identities related to the sums of adjacent terms in the Pell sequence, defined by $P_n:=2P_{n-1}+P_{n-2}$ for $n\ge 2$ and $P_0=0,P_1=1$, and generalize the…