A377978 Total number of coronal tilings for a width one length n straight polyiamond with the T2 triangle.

2, 2, 6, 11, 6, 2, 6, 11, 6, 2, 6, 11, 6, 2

Offset

1,1

Comments

Heesch numbers look at the buildout of coronal layers from a single type of tile. In contrast this sequence looks at a single type of tile being asked to form a corona around an expanding central frame.

This central frame tiled with the hexiamond boat tile has a coronal expansion number of 12 (see links below).

A376899 shows coronal tilings for the expansion of a central triangle frame and gives the definition for the coronal expansion number.

Combining individual polyiamonds in various ways creates a variety of expansion frames.Craig Knecht, Nov 29 2024

Links

Table of n, a(n) for n=1..14.

Craig Knecht, example for the sequence.

Craig Knecht, Expansion frame worksheet.

Craig Knecht, Hexiamond boat corona.

Crossrefs

Cf. A376899.

Sequence in context: A355207 A308260 A279212 * A299018 A364834 A269830

Adjacent sequences: A377975 A377976 A377977 * A377981 A377982 A377983

Keyword

nonn,more,new

Author

Craig Knecht, Nov 26 2024

Status

approved