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A304076 Coordination sequence for one of the inner vertices introduced in the first inflation-deflation step in a chair tiling (see Comments for precise definition). 4
1, 2, 4, 8, 16, 24, 39, 44, 61, 72, 98, 88, 110, 100, 136, 136, 187, 188, 234, 184, 211, 156, 208, 204, 279, 272, 337, 292, 358, 292, 374, 332, 440, 432, 523, 388, 425, 268, 352, 340, 463, 440, 537, 480, 586, 472, 586, 484, 636, 616, 775, 632, 730, 508, 619 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
The first inflation-deflation step leads to the following configuration (where O marks the reference vertex for this sequence):
+-----+
| |
| +--+
| | |
+--+ +--+--+
| | | |
| O--+--+ +
| | |
+-----+-----+
After k > 0 inflation-deflation steps, we can compute a finite coordination sequence c_k (until we reach the edge of the tiling after k steps). It appears that for i and j such that 0 < i < j, c_i is a prefix of c_j; this sequence is the limiting sequence of the { c_i, i > 0 } family.
See A304077 for a variant of this sequence.
See A304050 for a similar sequence.
LINKS
Tilings Encyclopedia, Chair
Wikipedia, Substitutions
PROG
(C++) See Links section.
CROSSREFS
Cf. A304050, A304077, A304078 (partial sums).
Sequence in context: A008233 A224815 A031923 * A225549 A138278 A326078
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 06 2018
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)