A302176 -id:A302176 - cp's OEIS frontend

A302177 Partial sums of A302176.

1, 6, 11, 31, 46, 71, 91, 136, 171, 221, 266, 311, 366, 441, 501, 566

Offset: 0

N. J. A. Sloane, Apr 03 2018

A302841 Coordination sequence for a node with 5-fold symmetry in a Penrose rhomb tiling beginning with a central 'Star' configuration.

1, 5, 15, 10, 15, 35, 20, 40, 40, 40, 40, 50, 70, 55, 85, 60, 70, 70, 115, 75, 90, 120, 90, 110, 130, 110, 110, 120, 160, 130, 120, 190, 130, 155, 185, 160, 145, 225, 150, 190, 210, 190, 170, 200, 240, 210, 180, 295, 185, 240, 265, 235, 210, 245, 295, 260, 310

Offset: 0

Rémy Sigrist, Apr 14 2018

nonn

See A302176 and A302842 for similar sequences.

Rémy Sigrist, Table of n, a(n) for n = 0..2584
Preshing on Programming, Penrose Tiling Explained
Rémy Sigrist, Illustration of first terms
Rémy Sigrist, C++ program for A302841
Wikipedia, Penrose tiling
Index entries for coordination sequences of aperiodic tilings

Cf. A302176, A302842, A302868 (partial sums).

A302842 Coordination sequence for a node with 5-fold symmetry in a Penrose rhomb tiling beginning with a central 'Sun' configuration.

Original entry on oeis.org

1, 5, 5, 10, 30, 20, 30, 35, 25, 55, 40, 65, 50, 50, 70, 80, 80, 90, 80, 70, 110, 105, 105, 80, 130, 120, 140, 130, 140, 100, 165, 145, 170, 165, 115, 180, 180, 200, 180, 140, 200, 215, 210, 225, 210, 160, 240, 240, 240, 250, 165, 275, 250, 285, 255, 200, 280

Offset: 0

Rémy Sigrist, Apr 14 2018

nonn

See A302176 and A302841 for similar sequences.

Rémy Sigrist, Table of n, a(n) for n = 0..1597
Preshing on Programming, Penrose Tiling Explained
Rémy Sigrist, Illustration of first terms
Rémy Sigrist, C++ program for A302842
Wikipedia, Penrose tiling
Index entries for coordination sequences of aperiodic tilings

Cf. A302176, A302841, A302869 (partial sums).

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

A302177 Partial sums of A302176.

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A302841 Coordination sequence for a node with 5-fold symmetry in a Penrose rhomb tiling beginning with a central 'Star' configuration.

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A302842 Coordination sequence for a node with 5-fold symmetry in a Penrose rhomb tiling beginning with a central 'Sun' configuration.

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Author

Keywords

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Crossrefs

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.

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Author

Keywords

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