This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A096575 #32 Jul 28 2025 11:04:04
%S A096575 1,1,1,2,2,2,4,6,6,8,11,13,17,24,28,36,47,56,69,94,114,138,177,218,262
%N A096575 Number of fixed points of solid partitions under rotation operation.
%C A096575 Rotation has permutation cycle length 1 or 3. Uses function "solidformBTK" from link below.
%C A096575 Is this the same sequence as A002722? - _R. J. Mathar_, Sep 04 2008 [This still seems to be true even after 20 terms. - _N. J. A. Sloane_, Feb 05 2025]
%C A096575 Rotation of each of the plane partitions in a solid partition appears to lead to the same count of fixed points as rotating the 3D-partition as a whole. - _Wouter Meeussen_, Feb 05 2025
%H A096575 Wouter Meeussen, <a href="/A094504/a094504_1.txt">Mma functions for plane and solid partitions</a>
%e A096575 Solid partition [{{3, 1, 1, 1}, {3}}, {{2, 1}}, {{1}}, {{1}}, {{1}}] rotates into [{{4, 1}, {1, 1}, {1, 1}}, {{2}, {1}}, {{1}}, {{1}}, {{1}}] by rotating each layer as a plane partition.
%t A096575 Tr/@Table[Count[solidformBTK[par], arg_z /;turn[arg]==arg],{n,20}, {par, IntegerPartitions[n]}]
%Y A096575 Cf. A000293, A094504, A094508, A096272, A096573, A096574, A096576, A096577, A096578, A096579, A096580, A096581, A119266.
%K A096575 nonn,hard,more
%O A096575 1,4
%A A096575 _Wouter Meeussen_, Jun 27 2004
%E A096575 a(16)-a(23) from _Wouter Meeussen_, Feb 05 2025
%E A096575 a(24)-a(25) from _Wouter Meeussen_, Jul 27 2025