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A091298
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Triangle read by rows: T[n,k]= plane partitions of n containing k parts.
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0
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1, 1, 2, 1, 2, 3, 1, 4, 3, 5, 1, 4, 7, 5, 7, 1, 6, 10, 13, 7, 11, 1, 6, 14, 20, 19, 11, 15, 1, 8, 18, 33, 32, 31, 15, 22, 1, 8, 25, 43, 56, 54, 43, 22, 30, 1, 10, 29, 66, 81, 99, 78, 64, 30, 42, 1, 10, 37, 83, 126, 150, 148, 118, 88, 42, 56, 1, 12, 44, 114, 174, 246, 235, 230, 166, 124
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| first column is 1, representing the single-part {{n}}, last column is P(n), since the all-ones plane partitions form the Ferrers-Young plots of the (linear) partitions of n.
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EXAMPLE
| This plane partition of n=7: {{3,1,1},{2}} contains 4 parts: 3,1,1,2
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MATHEMATICA
| (* see A089924 for "planepartition" *) Table[Length /@ Split[Sort[Length /@ Flatten /@ planepartitions[n]]], {n, 16}]
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CROSSREFS
| Cf. A090539, A092288, A089924.
Sequence in context: A205682 A110582 A162507 * A055884 A055889 A125930
Adjacent sequences: A091295 A091296 A091297 * A091299 A091300 A091301
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KEYWORD
| nonn,tabl
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AUTHOR
| Wouter Meeussen (wouter.meeussen(AT)pandora.be), Feb 24 2004
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