Ordered Fibonacci Partitions
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 312-316

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Ordered partitions are enumerated by Fn = Σk k !S(n, k) where S(n, k) is the Stirling number of the second kind. We give some comments on several papers dealing with ordered partitions and turn then to ordered Fibonacci partitions of {1, ߪ, n}: If d is a fixed integer, the sets A appearing in the partition have to fulfill i, j ∈ A, i ≠ j ⟹ |i-j| ≥ d. The number of ordered Fibonacci partitions is determined.
DOI : 10.4153/CMB-1983-050-4
Mots-clés : 05A17
Prodinger, Helmut. Ordered Fibonacci Partitions. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 312-316. doi: 10.4153/CMB-1983-050-4
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