login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A000104 Number of n-celled polyominoes without holes.
(Formerly M1424 N0560)
18
1, 1, 1, 2, 5, 12, 35, 107, 363, 1248, 4460, 16094, 58937, 217117, 805475, 3001127, 11230003, 42161529, 158781106, 599563893, 2269506062, 8609442688, 32725637373, 124621833354, 475368834568, 1816103345752, 6948228104703 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

J. S. Madachy, Pentominoes - Some Solved and Unsolved Problems, J. Rec. Math., 2 (1969), 181-188.

George E. Martin, Polyominoes - A Guide to Puzzles and Problems in Tiling, The Mathematical Association of America, 1996

T. R. Parkin, L. J. Lander and D. R. Parkin, "Polyomino enumeration results," SIAM Fall Meeting, Santa Barbara, California, 1967.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..26.

Elena V. Konstantinova and Maxim V. Vidyuk, Discriminating tests of information and topological indices. Animals and trees, J. Chem. Inf. Comput. Sci. 43 (2003), 1860-1871.

Tomás Oliveira e Silva, Enumeration of polyominoes

T. R. Parkin, L. J. Lander, and D. R. Parkin, Polyomino Enumeration Results, presented at SIAM Fall Meeting, 1967) and accompanying letter from T. J. Lander (annotated scanned copy)

R. C. Read, Contributions to the cell growth problem, Canad. J. Math., 14 (1962), 1-20.

CROSSREFS

Cf. A000105, A006746, A056877, A006748, A056878, A006747, A006749, A006884, A006885, A006877, A006878, A033492, A054361.

Sequence in context: A054359 A148287 A036357 * A000105 A055192 A108555

Adjacent sequences:  A000101 A000102 A000103 * A000105 A000106 A000107

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane

EXTENSIONS

Extended to n=26 by Tomás Oliveira e Silva

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified July 22 12:58 EDT 2017. Contains 289670 sequences.