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A120698 Restricted growth functions for set partitions. 4
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,5

COMMENTS

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.

LINKS

Joerg Arndt, fxtbook

MATHEMATICA

Flatten[Table[RGFs[n], {n, 1, 5}]](* Geoffrey Critzer, Dec 08 2010 *)

CROSSREFS

Cf. A000110, A120699 (row lengths).

Sequence in context: A071625 A049100 A030612 * A184170 A025919 A095684

Adjacent sequences:  A120695 A120696 A120697 * A120699 A120700 A120701

KEYWORD

nonn,tabf

AUTHOR

Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 28 2006

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Last modified February 17 17:35 EST 2012. Contains 206061 sequences.