%I A096419
%S A096419 1,0,0,1,0,0,2,1,0,2,1,0,4,3,0,5,4,0,8,8,0,10,11,0,15,19,1,20,27,1,28,
%T A096419 43,3,36,61,6,50,92,11,64,129,18,86,189,33,110,262,51,145,374,84,184,
%U A096419 514,129,238,718,201,300,977,300,384,1344,454,482,1812,661,609,2459,972
%N A096419 Number of cyclically symmetric plane partitions (Macdonald's plane partition 
               conjecture).
%C A096419 Equals A048141 (C3v symmetry) + 2* A048142 (only C3 symmetry).
%D A096419 Andrews, G. E. "Plane Partitions (III): The Weak Macdonald Conjecture." 
               Invent. Math. 53, 193-225, 1979.
%D A096419 Mills, W. H.; Robbins, D. P.; and Rumsey, H. Jr., Proof of the Macdonald 
               Conjecture. Invent. Math. 66, 73-87, 1982.
%H A096419 Wouter Meeussen, <a href="b096419.txt">Table of n, a(n) for n=1..151</
               a>
%H A096419 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MacdonaldsPlanePartitionConjecture.html">Macdonald's Plane Partition 
               Conjecture</a>
%F A096419 See Mathematica code for a formula.
%t A096419 mcdon=Rest@CoefficientList[Series[Product[(1-q^(3i-1))/(1-q^(3i-2)) Product[(1-q^(3(m+i+j-1)))/
               (1-q^(3(2i+j-1))), {j, i, m}], {i, 1, m}]/.m->50, {q, 0, 97}], q]
%Y A096419 Cf. A047993, A048141, A048142.
%Y A096419 Sequence in context: A025841 A138468 A029296 this_sequence A130182 A024361 
               A135486
%Y A096419 Adjacent sequences: A096416 A096417 A096418 this_sequence A096420 A096421 
               A096422
%K A096419 nonn
%O A096419 1,7
%A A096419 Wouter Meeussen (wouter.meeussen(AT)pandora.be), Aug 08 2004