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A096578 Number of solid partitions with period (cycle length) two under 'time-lapse' operation. 7
0, 0, 1, 1, 1, 2, 3, 6, 7, 11, 15, 25, 33, 48, 65 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

Operation 'time lapse', or 'lapse', L, operates on a solid partition by creating a new one, layer by layer. Layer k is defined by its 3-dimensional-Ferrers plot, equal to the (existence of) elements of the solid partition with value >= k. As if taking a time-lapse picture of the solid partition, filtering out elements less than k and projecting the resulting structure (filled with ones) to the base plane. Given there are three plane to project into, together with the starting solid partition, that makezs four 'isomers'.

LINKS

Wouter Meeussen, Solid Partitions Mathematica functions

EXAMPLE

Solid partition [{{3,1,1,1},{3}},{{2,1}},{{1}},{{1}},{{1}}] lapses (L) into

[{{4,1},{2},{1},{1},{1}},{{1,1},{1}},{{1,1}}], then into

[{{2,1,1,1,1},{2,1},{2}},{{1,1}},{{1}},{{1}}], further into

[{{5,2,1},{2},{1},{1}},{{1,1,1}}] and returns after L^4 to

[{{3,1,1,1},{3}},{{2,1}},{{1}},{{1}},{{1}}]

MATHEMATICA

See link above.

CROSSREFS

Cf. A000293, A094504, A094508, A096272, A096573, A096574, A096575, A096576, A096577, A096579, A096580, A096581.

Sequence in context: A117115 A049196 A179019 * A027754 A092857 A062404

Adjacent sequences:  A096575 A096576 A096577 * A096579 A096580 A096581

KEYWORD

more,nonn

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be), Jun 27 2004

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Last modified February 14 18:01 EST 2012. Contains 205659 sequences.