A258013 Capped binary boundary codes for fusenes, only the maximal representatives of each equivalence class obtained by rotating.

1, 127, 2014, 7918, 31606, 32122, 32188, 126394, 127930, 128476, 486838, 503254, 503482, 505306, 505564, 506332, 511450, 511462, 511708, 511804, 513514, 513772, 513778, 514540, 514804, 514936, 2012890, 2012902, 2013916, 2021098, 2021212, 2022124, 2025196, 2039254, 2043610, 2043622, 2045674, 2045788, 2046700

Offset

0,2

Comments

A258017(n) gives the count of terms with binary width 2n + 1.

Differs from A258003 for the first time at n=875, which here contains a(875) = 131821024 the smallest polyhex (26 edges, six hexes) where two hexes (at the opposite ends of a coiled pattern) meet to touch each other.

This pattern is isomorphic to benzenoid [6]Helicene (up to chirality, see the illustrations at Wikipedia-page).

Note that here, in contrast to "Boundary Edges Code for Benzenoid Systems" (see links at A258012), if a fusene has no bilateral symmetry then both variants of the corresponding one-sided fusene (their codes) are included in this sequence, the other obtained from the other by turning it over.

Links

Antti Karttunen, Table of n, a(n) for n = 0..875

Eric Weisstein's World of Mathematics, Fusene

Wikipedia, Helicene

Crossrefs

Subsequences: A258003, A258015.

Intersection of A257250 and A258012.

Cf. A258014 (same codes without the most significant bit).

Cf. also A258017.

Sequence in context: A075937 A075938 A258003 * A258005 A258015 A181126

Adjacent sequences: A258010 A258011 A258012 * A258014 A258015 A258016

Keyword

nonn,base

Author

Antti Karttunen, May 31 2015

Status

approved