A302176 Coordination sequence for a node in a Penrose tiling with 5-fold symmetry.

1, 5, 5, 20, 15, 25, 20, 45, 35, 50, 45, 45, 55, 75, 60, 65, 65, 100, 80, 105, 95, 85, 95, 130, 115, 135, 120, 105, 135, 160, 135, 125, 145, 185, 160, 190, 165, 145, 180, 215, 185, 165, 185, 240, 205, 245, 220, 185, 215, 270, 240, 275, 245, 205, 255

Offset: 0

Author

N. J. A. Sloane, Apr 03 2018

Keywords

• nonn

Comments

Note that this is not THE Penrose tiling, but a variant. See Klee link. - N. J. A. Sloane, Jan 07 2020

Links

• Bradley Klee, Table of n, a(n) for n = 0..100
• Bradley Klee, Fixing RegionMember & A302176 at once, Wolfram Community, Jan 06 2019
• Bradley Klee, Illustration of initial terms (1) (extracted from the Wolfram Community link)
• Bradley Klee, Illustration of initial terms (2) (extracted from the Wolfram Community link)
• Anton Shutov and Andrey Maleev, Coordination numbers of the vertex graph of a Penrose tiling, Acta Cryst. (2018). A74, 112-122.
• Anton Shutov and Andrey Maleev, Coordination numbers of the vertex graph of a Penrose tiling, Acta Cryst. (2018). A74, 112-122. [Annotated copy of Fig. 1, to illustrate initial terms of the sequence; with permission.]
• Index entries for coordination sequences of aperiodic tilings

Crossrefs

Cf. A302177, A302841, A302842.

Programs

Mathematica

(* See Klee link. *)

Extensions

More terms from Bradley Klee, Jan 09 2020