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

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DOI

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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     author = {Prodinger, Helmut},
     title = {Ordered {Fibonacci} {Partitions}},
     journal = {Canadian mathematical bulletin},
     pages = {312--316},
     year = {1983},
     volume = {26},
     number = {3},
     doi = {10.4153/CMB-1983-050-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-050-4/}
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