The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality
Copyright policy )The $t$-successive associated Stirling numbers, $t$-Fibonacci--Stirling numbers, and unimodality
Summary: Using a combinatorial approach, we introduce the \(t\)-successive associated Stirling numbers, and we give the recurrence relation and the generating function. We also establish the unimodality of sequence \(\left\{\frac{n-2k}{k}\right\}_{k}\) lying over a ray of the Stirling triangle of the second kind. Some combinatorial identities are given.
\(t\)-successive associated Stirling numbers, recurrence relations, generating function, unimodality, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Bell and Stirling numbers, Recurrences, log-concavity, Combinatorial identities, bijective combinatorics
\(t\)-successive associated Stirling numbers, recurrence relations, generating function, unimodality, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Bell and Stirling numbers, Recurrences, log-concavity, Combinatorial identities, bijective combinatorics
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