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A120698
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Restricted growth functions for set partitions.
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5
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1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 3, 1, 2, 3, 1, 1, 2, 3, 2, 1, 2, 3, 3, 1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3
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OFFSET
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1,5
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COMMENTS
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Table starts:
1
1,1
1,2
1,1,1
1,1,2
1,2,1
1,2,2
1,2,3
There are restricted growth functions (RGF, sometime called restricted growth strings, RGS) for various kinds of combinatorial objects. For the RGF used here see figure 17.1-D on p.358 of the Fxtbook, see links.
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LINKS
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Alois P. Heinz, Rows n = 1..5295, flattened
Joerg Arndt, Matters Computational (The Fxtbook)
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MATHEMATICA
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Flatten[Table[RGFs[n], {n, 1, 5}]](* Geoffrey Critzer, Dec 08 2010 *)
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CROSSREFS
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Cf. A000110, A120699 (row lengths).
Sequence in context: A030612 A264857 A286520 * A184170 A025919 A095684
Adjacent sequences: A120695 A120696 A120697 * A120699 A120700 A120701
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KEYWORD
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nonn,tabf
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AUTHOR
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Franklin T. Adams-Watters, Jun 28 2006
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STATUS
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approved
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