A056843 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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

(list; graph; refs; listen; history; text; internal format)

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

Table of n, a(n) for n=1..11.

M. Vicher, Polyforms

M. Vicher, Polydudes

EXAMPLE

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

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