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Search: id:A048140
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| A048140 |
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Number of planar partitions of n, but partitions that are mirror images of each other (when regarded as 3-D objects) are counted only once. |
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+0
5
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| 1, 2, 4, 8, 14, 27, 47, 86, 149, 261, 444, 760, 1269, 2119, 3486, 5711, 9247, 14906, 23800, 37816, 59622, 93528, 145759, 226071, 348612, 535131, 817280, 1242824, 1881310, 2836377, 4258509, 6369669, 9491142, 14092537, 20851146, 30749471
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Plane partitions seen as 3-dimensional-objects can have a mirror symmetry plane.
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EXAMPLE
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n=3 gives 4 forms: {{3}}; {{1,1,1}}={{1},{1},{1}}; {{2,1}}={{2},{1}}; {{1,1},{1}}
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CROSSREFS
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Equals (A000219+A005987)/2.
Equals 2 Cs + 3 C1 + C3 + C3v, Cs=A000784, C1=A000785, C3=A048142, C3v=A048141. Cf. A000219, A005987.
Sequence in context: A164161 A068011 A048238 this_sequence A065616 A164147 A122026
Adjacent sequences: A048137 A048138 A048139 this_sequence A048141 A048142 A048143
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KEYWORD
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nonn
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be)
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 08 2007
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