A258005 Capped binary boundary codes for holeless strictly non-overlapping polyhexes with bilateral symmetry, only the maximal representative from each equivalence class obtained by rotating.

1, 127, 2014, 7918, 31606, 32122, 32188, 126394, 486838, 503482, 505564, 506332, 511708, 511804, 513514, 514936, 2012890, 2021098, 2025196, 2054044, 2055544, 7788250, 8050522, 8051434, 8051548, 8054620, 8075098, 8075110, 8084380, 8104888, 8182636, 8183020, 8185756, 8207218, 8207602, 8214442, 8219596, 8219602, 8231884, 8236516

Offset: 0

Author

Antti Karttunen, May 31 2015

Keywords

• nonn
• base

Comments

Indexing starts from zero, because a(0) = 1 is a special case, indicating an empty path in the honeycomb lattice.

These are capped binary boundary codes for those holeless polyhexes that stay same when they are flipped over and rotated appropriately.

A258205(n) gives the count of terms with binary width 2n + 1.

Links

• Antti Karttunen, Table of n, a(n) for n = 0..112

Crossrefs

Cf. A255571, A258205.

Intersection of A258003 and A258209. Differs from A258003 for the first time at n=8, where a(8) = 486838 while A258003(8) = 127930.

Subsequence of A258015 from which this differs for the first time at n=113.