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A371397
Number of chiral pairs of polyominoes with n cubical cells of the regular tiling with Schläfli symbol {4,3,4}.
3
0, 0, 0, 1, 6, 54, 416, 3111, 22898, 168460, 1242985, 9227333, 68949103, 518618196, 3925228596, 29879207817
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OFFSET
1,5
COMMENTS
Also called polycubes. Each member of a chiral pair is a reflection but not a rotation of the other.
LINKS
Table of n, a(n) for n=1..16.
FORMULA
a(n) =
A000162
(n) -
A038119
(n) = (
A000162
(n) -
A007743
(n))/2 =
A038119
(n) -
A007743
(n).
EXAMPLE
Polyominoes with cell centers at (0,0,0), (0,0,1), (0,1,1), (1,1,1) and (0,0,0), (0,1,0), (0,1,1), (1,1,1) are a chiral pair.
CROSSREFS
Cf.
A000162
(oriented),
A038119
(unoriented),
A007743
(achiral),
A001931
(fixed).
Sequence in context:
A300583
A060774
A043026
*
A125837
A065088
A202364
Adjacent sequences:
A371394
A371395
A371396
*
A371398
A371399
A371400
KEYWORD
nonn
,
more
AUTHOR
Robert A. Russell
, Mar 21 2024
STATUS
approved
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Last modified May 1 10:38 EDT 2024. Contains 372163 sequences. (Running on oeis4.)