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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

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

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

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.

LINKS

Tomas Oliveira e Silva, Enumeration of polyominoes

CROSSREFS

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

Adjacent sequences: A000101 A000102 A000103 this_sequence A000105 A000106 A000107

Sequence in context: A054359 A148287 A036357 this_sequence A000105 A055192 A108555

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 November 3 12:59 EST 2009. Contains 165766 sequences.


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