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A001419 Number of n-celled polyominoes with holes.
(Formerly M4226 N1767)
8
0, 0, 0, 0, 0, 0, 1, 6, 37, 195, 979, 4663, 21474, 96496, 425449, 1849252, 7946380, 33840946, 143060339, 601165888, 2513617990, 10466220315, 43425174374, 179630865835, 741123699012, 3050860717372 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

REFERENCES

S. W. Golomb, Polyominoes. Scribner's, NY, 1965; second edition ( Polyominoes: Puzzles, Packings, Problems and Patterns) Princeton Univ. Press, 1994.

Joseph 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

Table of n, a(n) for n=1..26.

Joseph Myers, Polyomino tiling

Eric Weisstein's World of Mathematics, Polyomino.

CROSSREFS

Cf. A000104, A000105.

Sequence in context: A056328 A156185 A057418 * A081152 A033116 A033124

Adjacent sequences:  A001416 A001417 A001418 * A001420 A001421 A001422

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Joseph Myers, May 05 2002

More terms from Joseph Myers, Nov 04 2003

a(24)-a(26) from Joseph Myers, Nov 17 2010

STATUS

approved

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Last modified April 23 19:18 EDT 2014. Contains 240946 sequences.