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A363200 Number of connected animals formed from n 6-gon connected truncated octahedra, avoiding connected squares. 1
1, 1, 2, 5, 15, 55, 248, 1256, 6844, 38930, 226961, 1345641, 8072770, 48882245, 298237393 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Rotations and reflections are identified.
Avoiding connected squares is the same as avoiding neighbors at [0,0,+-2], [0,+-2,0], and [+-2,0,0].
Allowing connected squares gives A038171.
LINKS
EXAMPLE
The animals for n <= 5 are:
n=1:
0,0,0
n=2:
0,0,0; 1,1,1
n=3:
0,0,0; 0,2,2; 1,1,1
0,0,0; 1,1,1; 2,2,2
n=4:
0,0,0; 0,2,2; 1,1,1; 1,3,3
0,0,0; 0,2,2; 1,1,1; 2,0,2
0,0,0; 1,1,1; 1,3,3; 2,2,2
0,0,0; 1,1,1; 2,2,2; 3,3,3
0,0,1; 1,1,0; 1,3,2; 2,2,1
n=5:
0,0,0; 0,2,2; 0,4,4; 1,1,1; 1,3,3
0,0,0; 0,2,2; 1,1,1; 1,3,3; 2,0,2
0,0,0; 0,2,2; 1,1,1; 1,3,3; 2,2,4
0,0,0; 0,2,2; 1,1,1; 1,3,3; 2,4,4
0,0,0; 0,2,2; 1,1,1; 2,0,2; 2,2,0
0,0,0; 0,2,4; 1,1,1; 1,3,3; 2,2,2
0,0,0; 0,4,4; 1,1,1; 1,3,3; 2,2,2
0,0,0; 1,1,1; 1,3,3; 2,2,2; 3,1,3
0,0,0; 1,1,1; 2,2,2; 2,4,4; 3,3,3
0,0,0; 1,1,1; 2,2,2; 3,3,3; 4,4,4
0,0,1; 0,2,3; 1,1,0; 1,3,2; 2,2,1
0,0,1; 0,2,3; 1,1,2; 1,3,0; 2,2,1
0,0,1; 0,4,1; 1,1,0; 1,3,2; 2,2,1
0,0,1; 1,1,0; 2,2,1; 2,4,3; 3,3,2
0,0,1; 1,1,0; 2,2,1; 3,3,2; 4,4,1
CROSSREFS
Sequence in context: A109319 A059219 A242275 * A137533 A121392 A216388
KEYWORD
nonn,hard,more
AUTHOR
EXTENSIONS
a(14) and a(15) from Joerg Arndt, Dec 09 2023
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)