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Sloane, (2010), The On-Line Encyclopedia of Integer Sequences, published electronically at http://www.research.att.com/~njas/sequences/.. 2010 Mathematics Subject Classification
We study polynomial generalizations of the r -Fibonacci and r -Lucas sequences which arise in connection with a certain statistic on linear and circular r -mino ar-
We introduce polynomial generalizations of the r -Fibonacci, r -Gibonacci, and r - Lucas sequences which arise in connection with two statistics defined, respectively, on
Keywords: binomial coefficient, maximal exponent of a prime dividing an integer, p-ary expansion of integer, Kummer’s theorem.. (Concerned with
Determinant, Matrix factorization, Generalized Pascal triangle, Generalized sym- metric (skymmetric) Pascal triangle, Toeplitz matrix, Recursive relation, Fibonacci (Lucas,
Closed-form formulas are derived for the rank and inertia of submatrices of the Moore–Penrose inverse of a Hermitian matrix.. A variety of consequences on the nonsingularity,
The purpose of this paper is to determine the joint distribution of the sequence of ages and residual lifetimes associated with certain nested sequences of regenerative
sequences, and so Aldous’ question becomes one of whether or not we can identify the mixing probability measure associated with an exchangeable sequence given the distribution of
