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.

0, 3, 1, 9, 15, 59, 152, 513, 1539, 4993, 15836

Offset: 1

Author

James Sellers, Aug 28 2000

Keywords

• nonn
• obsc

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.)

Examples

			The second link shows all 5-dudes and 6-dudes.
		

Links

• M. Vicher, Polyforms
• M. Vicher, Polydudes

Crossrefs

Cf. A056842, A091130.

Extensions

Edited by David Wasserman, Dec 19 2003