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A000104 Number of n-celled polyominoes without holes.
(Formerly M1424 N0560)
+0
14
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; listen)
OFFSET

0,4

REFERENCES

E. V. Konstantinova and M. V. Vidyuk, Discriminating tests of information and toplogical indices; animals and trees; J. Chem. Inf. Comput. Sci., 43 (2003), 1860-1871.

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

T. R. Parkin, L. J. Lander and D. R. Parkin, ``Polyomino enumeration results,'' SIAM Fall Meeting, Santa Barbara, California, 1967.

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

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

Tomas Oliveira e Silva, Enumeration of polyominoes

CROSSREFS

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

Sequence in context: A054359 A148287 A036357 this_sequence A000105 A055192 A108555

Adjacent sequences: A000101 A000102 A000103 this_sequence A000105 A000106 A000107

KEYWORD

nonn,nice,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Extended to n=26 by Tomas Oliveira e Silva.

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Last modified February 9 11:24 EST 2010. Contains 172296 sequences.


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