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Search: id:A000786
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| A000786 |
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Number of planar partitions of n.
(Formerly M1020 N0383)
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+0
11
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| 1, 1, 2, 4, 6, 11, 19, 33, 55, 95, 158, 267, 442, 731, 1193, 1947, 3137, 5039, 8026, 12726, 20024, 31373, 48835, 75673, 116606, 178889, 273061, 415086, 628115, 946723, 1421082, 2125207, 3166152, 4700564, 6954151, 10254486, 15071903
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Partitions that are the same when regarded as 3-D objects are counted only once. - Wouter Meeussen (wouter.meeussen(AT)pandora.be)
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
P. A. MacMahon, Combinatory Analysis. Cambridge Univ. Press, London and New York, Vol. 1, 1915 and Vol. 2, 1916; see vol. 2, p 332.
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LINKS
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P. A. MacMahon, Combinatory analysis.
Eric Weisstein's World of Mathematics, Macdonald's Plane Partition Conjecture
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FORMULA
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Equals A000784+A000785+A048141+A048142.
Equals (A048141+3*A048140-A000219+2*A048142)/3. - Wouter Meeussen (wouter.meeussen(AT)pandora.be)
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CROSSREFS
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Cf. A000784, A000785, A000219, A005987, A048142, A051056-A051061, A096419.
Sequence in context: A136424 A116732 A048239 this_sequence A000694 A164137 A018170
Adjacent sequences: A000783 A000784 A000785 this_sequence A000787 A000788 A000789
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Wouter Meeussen (wouter.meeussen(AT)pandora.be).
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