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A304076
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Coordination sequence for one of the inner vertices introduced in the first inflation-deflation step in a chair tiling (see Comments for precise definition).
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4
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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
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OFFSET
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0,2
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COMMENTS
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The first inflation-deflation step leads to the following configuration (where O marks the reference vertex for this sequence):
+-----+
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| +--+
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+--+ +--+--+
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| O--+--+ +
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+-----+-----+
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.
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LINKS
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Tilings Encyclopedia, Chair
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PROG
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(C++) See Links section.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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