A382247 Number of fixed points of solid partitions under twice the 'time-lapse' operation.

1, 0, 2, 2, 3, 4, 7, 12, 16, 22, 32, 50, 68, 96, 134, 195, 261, 364, 497, 701, 941, 1288, 1738

Offset

1,3

Comments

Permutes the 4 axes of the 4D-Ferrers plot of the solid partitions as 2143.

Links

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

Wouter Meeussen, Mma functions for plane and solid partitions

Example

z[{{2},{2}}] -> z[{{1,1}},{{1,1}}] -> z[{{2},{2}}] under the 'lapse' operation.

Mathematica

Tr/@Table[Count[solidformBTK[par], arg_z/; Nest[lapse, arg, 2]===arg], {n, 20}, {par, IntegerPartitions[n]}]

Crossrefs

Cf. A000293, A094504, A094508, A096272, A096573, A096574, A096575, A096576, A096578, A096579, A096580, A096581, A119266.

Sequence in context: A389122 A053638 A051920 * A286350 A389769 A023105

Adjacent sequences: A382244 A382245 A382246 * A382248 A382249 A382250

Keyword

nonn,hard,more

Author

Wouter Meeussen, Mar 19 2025

Status

approved