Families of Sequences From a Class of Multinomial Sums
نویسنده
چکیده
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.
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