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A000104 Number of n-celled polyominoes without holes.
(Formerly M1424 N0560)
19
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

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Last modified December 15 03:52 EST 2018. Contains 318141 sequences. (Running on oeis4.)