A103907 -id:A103907 - cp's OEIS frontend

A103906 Coordination sequence for Penrose tiling is a(n)*tau + A103907(n), where tau is A001622.

Original entry on oeis.org

0, -30, 88, -166, 246, -588, 1018, -1638, 2400, -2594

Offset: 1

Ralf Stephan, Feb 22 2005

M. Baake, U. Grimm, P. Repetowicz and D. Joseph, Coordination sequences and critical points, arXiv:cond-mat/9809110 [cond-mat.stat-mech], 1998; in: S. Takeuchi and T. Fujiwara, Proceedings of the 6th International Conference on Quasicrystals - Yamada Conference XLVII, World Scientific Publishing, 1998, ISBN 981-02-3343-4, pp 124-127.
Index entries for coordination sequences of aperiodic tilings

Cf. A001622 (golden ratio), A103907.

A242935 Number of forced tiles in the local empire of the eight possible vertex configurations in a Penrose rhomb tiling, in the order D, J, S, Q, S5, K, S3, S4.

Original entry on oeis.org

0, 2, 5, 10, 25, 27, 43, 99

Offset: 1

Felix Fröhlich, May 27 2014

The sequence refers to Figures 3.5 - 3.11 on pp. 28-32 of Effinger-Dean's thesis. It has been decided that the numbers should be listed here in the OEIS in order of increasing size. - M. F. Hasler, Jun 04 2019

L. Effinger-Dean, The Empire Problem in Penrose Tilings, B.A. thesis, Williams college (Williamstown, MA), May 2006, Fig. 3.5 - 3.11, pp. 28-32.
Wikipedia, Penrose tiling.

Cf. A242128, A242129, A242894, A242895, A243884, A302176, A302841, A302842, A235857, A235858, A103906, A103907. - M. F. Hasler, Jun 04 2019

Terms reordered by M. F. Hasler, Jun 04 2019

cp's OEIS Frontend

A103906 Coordination sequence for Penrose tiling is a(n)*tau + A103907(n), where tau is A001622.

Views

Author

Keywords

Links

Crossrefs