A243884 Type of walk that occurs when walking along a ray emanating from the center of a rotationally symmetric Penrose rhomb tiling with a "Sun" patch at the center (see comments for details).

1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 4, 2, 1, 3, 2, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 3, 2, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 1, 2, 3, 1, 2, 1, 4, 2, 1, 3, 2, 1, 2, 1, 2, 3

Offset

1,2

Comments

The ray starts at the center of the tiling and goes through the center of one of the thick rhombs of the central "Sun" patch. The walk types that can occur are encoded as follows:

Walk type | Number

---------------------------------------

along diagonal of thick rhomb | 1

along edge of thick rhomb | 2

along diagonal of thin rhomb | 3

along edge of thin rhomb | 4

Links

Table of n, a(n) for n=1..60.

Felix Fröhlich, Ray emanating from the center of a Penrose rhomb tiling with a "Sun" patch at the center, 2019.

Wikipedia, Penrose tiling

Example

See illustration in Fröhlich, 2019.

Crossrefs

Cf. A242129.

Sequence in context: A263939 A347499 A136311 * A366624 A366625 A334428

Adjacent sequences: A243881 A243882 A243883 * A243885 A243886 A243887

Keyword

nonn,more

Author

Felix Fröhlich, Jun 13 2014

Extensions

More terms, new name and editing from Felix Fröhlich, Jun 16 2019

Status

approved