The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A258002 Capped binary boundary codes for holeless strictly non-overlapping polyhexes (all orientations and rotations included). 5
 1, 127, 1519, 1783, 1915, 1981, 2014, 6007, 7099, 7645, 7918, 20335, 22447, 23479, 23503, 23995, 24187, 24253, 24286, 26551, 27607, 28123, 28135, 28381, 28477, 28510, 29659, 30187, 30445, 30451, 30574, 30622, 31213, 31477, 31606, 31609, 31990, 32122, 32188, 80815, 81271, 89527, 89551, 89719, 93655, 93883, 95191, 95707, 95719, 95965, 96061 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The sequence consists of those terms of A255571 whose every A080541/A080542-rotation is also a term of A255571 and in their binary representation the number of 1's is larger than the number of 0's. More precisely, after the initial term a(0)=1 (which stands for an empty path) each term has seven more 1's than 0's in their binary representation, i.e., A037861(a(n)) = -7 for all n >= 1. LINKS EXAMPLE 8167737748888 is included in the sequence, as it encodes a 42-edge polyhex pattern which is composed of two seven-hex "crowns" connected by a snake-like "S-piece". PROG (Scheme, with Antti Karttunen's IntSeq-library) (define A258002 (MATCHING-POS 0 1 (lambda (n) (and (negative? (A037861 n)) (isA255571? n) (isA255571? (A080542 n)))))) ;; See also the code in A255571 and A080542. CROSSREFS Intersection of A072600 and A258001. Intersection of A255571 and A258012. Subsequence: A258003 (lexicographically largest representatives). Cf. A037861. Differs from A258012 for the first time at n=6622. Sequence in context: A189026 A287653 A258012 * A025598 A115153 A172408 Adjacent sequences:  A257999 A258000 A258001 * A258003 A258004 A258005 KEYWORD nonn,base AUTHOR Antti Karttunen, May 16 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)