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Number of symmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have only a threefold axis of symmetry, i.e., C3 symmetry.
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%I #11 Aug 03 2017 01:36:25

%S 0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,2,2,0,3,3,0,5,6,0,7,9,0,11,16,1,

%T 14,23,2,20,36,4,27,52,7,37,78,13,48,111,21,65,163,36,83,227,56,109,

%U 322,89,139,444,135,179,618,207,226,841,305,288,1151,453,361

%N Number of symmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have only a threefold axis of symmetry, i.e., C3 symmetry.

%H Wouter Meeussen, <a href="/A048142/b048142.txt">Table of n, a(n) for n = 1..151</a>

%e The plane partitions {{3, 2, 2}, {3, 1}, {1, 1}} and {{3, 2, 2}, {3, 2}, {1, 1}} have C3 symmetry.

%Y Cf. A000219, A000784, A000785, A000786, A005987, A048141, A051056-A051061, A096419.

%K nice,nonn

%O 1,19

%A _Wouter Meeussen_