Some Number Arrays Related to Pascal and Lucas Triangles
Claudio de J. Pita Ruiz V.
By taking repeated convolutions of the sequence
np with the constant
sequence 1, we form the number arrays of the coefficients resulting
when we write the mentioned convolutions as linear combinations of
certain binomial coefficients. According to this procedure, Pascal and
Lucas triangles correspond to the cases p = 1 and p = 2
We show that these arrays have some properties similar to the
well-known properties of Pascal and Lucas triangles.
Full version: pdf,
(Concerned with sequences
Received February 25 2013;
revised version received May 14 2013.
Published in Journal of Integer Sequences, June 4 2013.
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