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Number of symmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have a threefold axis of symmetry that is the intersection of 3 mirror planes, i.e., C3v symmetry.
13

%I #14 Aug 03 2017 02:53:01

%S 1,0,0,1,0,0,2,1,0,2,1,0,2,1,0,3,2,0,4,4,0,4,5,0,5,7,1,6,9,1,6,11,1,8,

%T 15,2,10,20,3,10,25,4,12,33,7,14,40,9,15,48,12,18,60,17,20,74,23,22,

%U 89,30,26,108,40,30,130,51,33,157,66,37,187,85,42,222,108,47,262,136,54

%N Number of symmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have a threefold axis of symmetry that is the intersection of 3 mirror planes, i.e., C3v symmetry.

%H Wouter Meeussen, <a href="/A048141/b048141.txt">Table of n, a(n) for n=1..151</a>

%e The plane partition {{2,1},{1}} has C3v symmetry.

%Y Cf. A000219, A000784, A000785, A000786, A005987, A048142, A051056-A051061, A096419.

%K nice,nonn

%O 1,7

%A _Wouter Meeussen_