cp's OEIS Frontend

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.

A096573 Number of fixed points of mirroring operation on solid partitions.

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%I A096573 #20 Mar 20 2025 06:00:50
%S A096573 1,2,4,8,13,24,39,68,110,182,288,468,728,1150,1770,2751,4175,6388,
%T A096573 9597,14495,21571,32200,47498
%N A096573 Number of fixed points of mirroring operation on solid partitions.
%C A096573 Uses function "solidformBTK" from link below.
%H A096573 Wouter Meeussen, <a href="/A094504/a094504_1.txt">Mma functions for plane and solid partitions</a>
%H A096573 Luigi Togliani, <a href="https://doi.org/10.23756/sp.v7i2.473">Forms of Crossed and Simple Polygons</a>, Science & Philosophy (2019) Vol. 7, No. 2, 71-82.
%e A096573 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.
%t A096573 Tr/@Table[Count[solidformBTK[par],arg_z/;flip[arg]==arg],{n,20},{par,IntegerPartitions[n]}] (* _Wouter Meeussen_, Feb 05 2025  *)
%Y A096573 Cf. A000293, A094504, A094508, A096272, A096574, A096575, A096576, A096577, A096578, A096579, A096580, A096581, A119266.
%K A096573 nonn,more
%O A096573 1,2
%A A096573 _Wouter Meeussen_, Jun 27 2004
%E A096573 a(16)-a(23) from _Wouter Meeussen_, Feb 05 2025