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A304077
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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, 4, 12, 24, 36, 52, 52, 72, 92, 120, 84, 104, 116, 168, 156, 204, 220, 260, 148, 168, 164, 248, 244, 308, 300, 368, 284, 344, 300, 408, 364, 472, 500, 564, 276, 296, 260, 408, 420, 516, 460, 560, 500, 608, 444, 568, 524, 704, 708, 844, 556, 612, 460, 632
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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; this vertex is tetravalent from the second inflation-deflation step onwards):
+-----+
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+--O +--+--+
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+-----+-----+
After k > 1 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 1 < i < j, c_i is a prefix of c_j; this sequence is the limiting sequence of the { c_i, i > 1 } family.
See A304076 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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