A197159 - OEIS

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A197159

Number of free poly-[3^4.6]-tiles (holes allowed) with n cells.

1, 3, 8, 25, 80, 291, 1036, 3875, 14561, 55624, 213951, 830712, 3244355, 12747718, 50320659

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

REFERENCES

Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.

LINKS

Table of n, a(n) for n=1..15.

Peter Kagey, Example illustrating that a(3) = 8.

Wikipedia, Floret pentagonal tiling

CROSSREFS

Cf. A197160.

Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197459 (rhombille), A197462 (kisrhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square).

Sequence in context: A148793 A180718 A318226 * A161634 A293385 A258466

Adjacent sequences: A197156 A197157 A197158 * A197160 A197161 A197162

KEYWORD

hard,nonn

AUTHOR

Joseph Myers, Oct 10 2011

STATUS

approved

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