n-Colour self-inverse compositions
نویسندگان
چکیده
Abstract. MacMahon’s definition of self-inverse composition is extended to n-colour self-inverse composition. This introduces four new sequences which satisfy the same recurrence relation with different initial conditions like the famous Fibonacci and Lucas sequences. For these new sequences explicit formulas, recurrence relations, generating functions and a summation formula are obtained. Two new binomial identities with combinatorial meaning are also given.
منابع مشابه
n-Color Odd Self-Inverse Compositions
An n-color odd self-inverse composition is an n-color self-inverse composition with odd parts. In this paper, we obtain generating functions, explicit formulas, and recurrence formulas for n-color odd self-inverse compositions.
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