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A056843
Number of polydudes(1): a(n) is the number of polydudes with n cells. See the first link for the source of this sequence. The definition is unknown. Not the same as A091130.
1
0, 3, 1, 9, 15, 59, 152, 513, 1539, 4993, 15836
OFFSET
1,2
COMMENTS
The polydudes(1) (this sequence) and the polydudes(2) (A091130) are both subsets of the polydrafters (A056842).
Speculation about the definition: There are 3 2-drafters that have no 30-degree angles. It appears that all polydudes are unions of these 3 2-drafters. All the pictured 5-dudes and 6-dudes have this property and the numbers of n-drafters with this property agree with the first 5 terms. I believe there is only one 6-drafter with this property that is not in the picture. This one was probably excluded because it has a 30-degree external angle, which none of the other polydudes can fit into. I can't guess what other exclusions might occur for n > 6. (D.R.W.)
LINKS
EXAMPLE
The second link shows all 5-dudes and 6-dudes.
CROSSREFS
Sequence in context: A288852 A162749 A094796 * A076806 A111568 A209324
KEYWORD
nonn,obsc
AUTHOR
James A. Sellers, Aug 28 2000
EXTENSIONS
Edited by David Wasserman, Dec 19 2003
STATUS
approved