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 A317634 Number of caps (also clutter partitions) of clutters (connected antichains) spanning n vertices. 11
 1, 0, 1, 9, 315, 64880 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS A kernel of a clutter is the restriction of the edge set to all edges contained within some connected vertex set. A clutter partition is a set partition of the edge set using kernels. LINKS Gus Wiseman, Every Clutter Is a Tree of Blobs, The Mathematica Journal, Vol. 19, 2017. EXAMPLE The a(3) = 9 clutter partitions:   {{{1,2,3}}}   {{{1,3},{2,3}}}   {{{1,2},{2,3}}}   {{{1,2},{1,3}}}   {{{1,3}},{{2,3}}}   {{{1,2}},{{2,3}}}   {{{1,2}},{{1,3}}}   {{{1,2},{1,3},{2,3}}}   {{{1,2}},{{1,3}},{{2,3}}} CROSSREFS Cf. A001187, A030019, A048143, A275307, A286520,, A293510, A304717, A317631, A317632, A317635. Sequence in context: A217145 A266835 A288324 * A198401 A135609 A277422 Adjacent sequences:  A317631 A317632 A317633 * A317635 A317636 A317637 KEYWORD nonn,more AUTHOR Gus Wiseman, Aug 02 2018 STATUS approved

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Last modified August 1 05:04 EDT 2021. Contains 346384 sequences. (Running on oeis4.)