A096574 - OEIS

%I #6 Feb 03 2025 11:55:09

%S 0,1,3,9,23,58,134,308,677,1470,3106,6479,13260,26827,53516

%N Number of asymmetric solid partitions under mirroring operation.

%C Uses function "solidformBTK" from link above.

%H Wouter Meeussen, <a href="/A094504/a094504_1.txt">Mma functions for plane and solid partitions</a>

%F a(n) = (A000293(n) - A096573(n))/2.

%e Solid partition [{{3, 1, 1, 1}, {3}}, {{2, 1}}, {{1}}, {{1}}, {{1}}] mirrors into [{{3, 3}, {1}, {1}, {1}}, {{2}, {1}}, {{1}}, {{1}}, {{1}}] by mirroring each layer as a plane partition.

%Y Cf. A000293, A094504, A094508, A096272, A096573, A096575, A096576, A096577, A096578, A096579, A096580, A096581.

%K nonn,more,changed

%O 1,3

%A _Wouter Meeussen_, Jun 27 2004