On some identities and generating functions for k-Pell-Lucas sequence

Paula Catarino, Paulo Vasco
2013 Applied Mathematical Sciences  
We obtain the Binet's formula for k-Pell-Lucas numbers and as a consequence we obtain some properties for k-Pell-Lucas numbers. Also we give the generating function for the k-Pell-Lucas sequences and another expression for the general term of the sequence, using the ordinary generating function, is provided. Mathematics Subject Classification: 11B37, 05A15, 11B83.
doi:10.12988/ams.2013.37379 fatcat:rkiitevq7jazlbm25lltocdwlm