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A304077 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, 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 (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; this vertex is tetravalent from the second inflation-deflation step onwards):

     +-----+

     |     |

     |  +--+

     |  |  |

     +--O  +--+--+

     |  |     |  |

     |  +--+--+  +

     |     |     |

     +-----+-----+

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.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..512

Rémy Sigrist, Illustration of first terms

Rémy Sigrist, C++ program for A304077

Tilings Encyclopedia, Chair

Index entries for sequences related to coordination sequences

PROG

(C++) See Links section.

CROSSREFS

Cf. A304050, A304076, A304079 (partial sums).

Sequence in context: A317518 A307763 A071228 * A108997 A159795 A301171

Adjacent sequences:  A304074 A304075 A304076 * A304078 A304079 A304080

KEYWORD

nonn

AUTHOR

Rémy Sigrist, May 06 2018

STATUS

approved

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Last modified July 6 23:56 EDT 2020. Contains 335484 sequences. (Running on oeis4.)