Generalized sum of Pell Numbers

Here we are proposing a generalized sum for Pell numbers. This sum contains four Pell numbers. By means of this generalized sum, the Pell number at position (n+m) in the sequence is given by the Pell numbers at positions n, m, (n-1) and (m-1).

Related Organizations

Polytechnic University of Turin
Italy

Keywords

OEIS A001333, Generalized Sums, Binary Operators, Integer Sequences, Fibonacci numbers, OEIS A000129, Pell numbers, Lucas numbers, On-Line Encyclopedia of Integer Sequences, Groupoid Representations, OEIS

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