

A355052


Number of oriented multidimensional nominoes with cell centers determining n3 space.


5



1, 17, 131, 709, 3350, 14337, 57507, 218746, 803384, 2870707, 10044838, 34548917, 117224825, 393290329, 1307200931, 4310348599, 14116544717, 45959805027, 148860350902, 479938536114, 1541025955958, 4929773150983
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OFFSET

4,2


COMMENTS

Multidimensional polyominoes are connected sets of cells of regular tilings with Schläfli symbols {oo}, {4,4}, {4,3,4}, {4,3,3,4}, etc. Each tile is a regular orthotope (hypercube). This sequence is obtained using the first formula below. For oriented polyominoes, chiral pairs are counted as two.


LINKS



FORMULA

a(n) = A195738(n,n3), the third diagonal of Lunnon's DR array.


EXAMPLE

a(4)=1 because there is just one tetromino (with four cells aligned) in 1space. a(5)=17 because there are 5 achiral and 6 chiral pairs of pentominoes in 2space, excluding the 1D straight pentomino.


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



