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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

%I

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

%N 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.

%C The polydudes(1) (this sequence) and the polydudes(2) (A091130) are both subsets of the polydrafters (A056842).

%C 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.)

%H M. Vicher, <a href="http://www.vicher.cz/puzzle/polyforms.htm">Polyforms</a>

%H M. Vicher, <a href="http://www.vicher.cz/puzzle/polyform/dude/pentdude.htm">Polydudes</a>

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

%Y Cf. A056842, A091130.

%K nonn,obsc

%O 1,2

%A _James A. Sellers_, Aug 28 2000

%E Edited by _David Wasserman_, Dec 19 2003

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Last modified February 18 09:42 EST 2019. Contains 320249 sequences. (Running on oeis4.)