A096573 - OEIS

A096573

Number of fixed points of mirroring operation on solid partitions.

1, 2, 4, 8, 13, 24, 39, 68, 110, 182, 288, 468, 728, 1150, 1770, 2751, 4175, 6388, 9597, 14495, 21571, 32200, 47498

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Uses function "solidformBTK" from link below.

LINKS

Table of n, a(n) for n=1..23.

Wouter Meeussen, Mma functions for plane and solid partitions

Luigi Togliani, Forms of Crossed and Simple Polygons, Science & Philosophy (2019) Vol. 7, No. 2, 71-82.

EXAMPLE

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.

MATHEMATICA

Tr/@Table[Count[solidformBTK[par], arg_z/; flip[arg]==arg], {n, 20}, {par, IntegerPartitions[n]}] (* Wouter Meeussen, Feb 05 2025 *)

CROSSREFS

Cf. A000293, A094504, A094508, A096272, A096574, A096575, A096576, A096577, A096578, A096579, A096580, A096581, A119266.

Sequence in context: A227232 A164408 A303852 * A348574 A227910 A000077

Adjacent sequences: A096570 A096571 A096572 * A096574 A096575 A096576

KEYWORD

nonn,more

AUTHOR

Wouter Meeussen, Jun 27 2004

EXTENSIONS

a(16)-a(23) from Wouter Meeussen, Feb 05 2025

STATUS

approved