Families of Sequences From a Class of Multinomial Sums
Department of Mathematical Sciences
University of Essex
In this paper we obtain formulas for certain sums of products involving
multinomial coefficients and Fibonacci numbers. The sums studied here
may be regarded as generalizations of the binomial transform of the
sequence comprising the even-numbered terms of the Fibonacci sequence.
The general formulas, involving both Fibonacci and Lucas numbers, give
rise to infinite sequences that are parameterized by two positive
integers. Links to the exponential partial Bell polynomials
are also established.
Full version: pdf,
(Concerned with sequences
Received October 6 2011;
revised version received December 27 2011.
Published in Journal of Integer Sequences, December 27 2011.
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