Search: id:A000786
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%I A000786 M1020 N0383
%S A000786 1,1,2,4,6,11,19,33,55,95,158,267,442,731,1193,1947,3137,5039,8026,
%T A000786 12726,20024,31373,48835,75673,116606,178889,273061,415086,628115,
%U A000786 946723,1421082,2125207,3166152,4700564,6954151,10254486,15071903
%N A000786 Number of planar partitions of n.
%C A000786 Partitions that are the same when regarded as 3-D objects are counted 
               only once. - Wouter Meeussen (wouter.meeussen(AT)pandora.be)
%D A000786 P. A. MacMahon, Combinatory Analysis. Cambridge Univ. Press, London and 
               New York, Vol. 1, 1915 and Vol. 2, 1916; see vol. 2, p 332.
%D A000786 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000786 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000786 P. A. MacMahon, <a href="http://www.hti.umich.edu/cgi/t/text/text-idx?c=umhistmath;
               idno=ABU9009">Combinatory analysis</a>.
%H A000786 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MacdonaldsPlanePartitionConjecture.html">Macdonald's Plane Partition 
               Conjecture</a>
%F A000786 Equals A000784+A000785+A048141+A048142.
%F A000786 Equals (A048141+3*A048140-A000219+2*A048142)/3. - Wouter Meeussen (wouter.meeussen(AT)pandora.be)
%Y A000786 Cf. A000784, A000785, A000219, A005987, A048142, A051056-A051061, A096419.
%Y A000786 Sequence in context: A136424 A116732 A048239 this_sequence A000694 A164137 
               A018170
%Y A000786 Adjacent sequences: A000783 A000784 A000785 this_sequence A000787 A000788 
               A000789
%K A000786 nonn,easy,nice
%O A000786 1,3
%A A000786 N. J. A. Sloane (njas(AT)research.att.com).
%E A000786 More terms from Wouter Meeussen (wouter.meeussen(AT)pandora.be).

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