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Search: id:A056843
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| A056843 |
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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. |
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+0
2
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| 0, 3, 1, 9, 15, 59, 152, 513, 1539, 4993, 15836
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.)
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LINKS
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M. Vicher, Polyforms
M. Vicher, Polydudes
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EXAMPLE
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The second link shows all 5-dudes and 6-dudes.
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CROSSREFS
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Cf. A056842, A091130.
Adjacent sequences: A056840 A056841 A056842 this_sequence A056844 A056845 A056846
Sequence in context: A095069 A141237 A094796 this_sequence A076806 A111568 A121489
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KEYWORD
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nonn,obsc
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AUTHOR
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James A. Sellers (sellersj(AT)math.psu.edu), Aug 28 2000
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EXTENSIONS
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Edited by David R. Wasserman (wasserma(AT)spawar.navy.mil), Dec 19 2003
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