

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
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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 2drafters that have no 30degree angles. It appears that all polydudes are unions of these 3 2drafters. All the pictured 5dudes and 6dudes have this property and the numbers of ndrafters with this property agree with the first 5 terms. I believe there is only one 6drafter with this property that is not in the picture. This one was probably excluded because it has a 30degree 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

Table of n, a(n) for n=1..11.
M. Vicher, Polyforms
M. Vicher, Polydudes


EXAMPLE

The second link shows all 5dudes and 6dudes.


CROSSREFS

Cf. A056842, A091130.
Sequence in context: A288852 A162749 A094796 * A076806 A111568 A209324
Adjacent sequences: A056840 A056841 A056842 * A056844 A056845 A056846


KEYWORD

nonn,obsc


AUTHOR

James A. Sellers, Aug 28 2000


EXTENSIONS

Edited by David Wasserman, Dec 19 2003


STATUS

approved



