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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 (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

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Last modified November 18 21:04 EST 2018. Contains 317331 sequences. (Running on oeis4.)