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

2013; Volume: 7; Linguagem: Inglês

10.12988/ams.2013.37379

1314-7552

Paula Catarino, Paulo Vasco,

Biofield Effects and Biophysics

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.