login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197159 Number of free poly-[3^4.6]-tiles (holes allowed) with n cells. 13
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 Gr├╝nbaum 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.

Wikipedia, Floret pentagonal tiling

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

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 21 19:12 EDT 2021. Contains 345365 sequences. (Running on oeis4.)