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A096577 Number of fixed points of solid partitions under 'time-lapse' operation. 9
1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 4 (list; graph; refs; listen; history; internal format)
OFFSET

1,9

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 makes 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, A096578, A096579, A096580, A096581.

Sequence in context: A144078 A008614 A036663 * A200213 A137899 A156596

Adjacent sequences:  A096574 A096575 A096576 * A096578 A096579 A096580

KEYWORD

more,nonn

AUTHOR

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

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Last modified February 15 09:26 EST 2012. Contains 205753 sequences.