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A001419 Number of n-celled polyominoes with holes.
(Formerly M4226 N1767)
+0
9
0, 0, 0, 0, 0, 0, 1, 6, 37, 195, 979, 4663, 21474, 96496, 425449, 1849252, 7946380, 33840946, 143060339, 601165888, 2513617990, 10466220315, 43425174374 (list; graph; listen)
OFFSET

1,8

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).

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.

LINKS

Joseph Myers, Polyomino tiling

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A000104, A000105.

Sequence in context: A056328 A156185 A057418 this_sequence A081152 A033116 A033124

Adjacent sequences: A001416 A001417 A001418 this_sequence A001420 A001421 A001422

KEYWORD

nonn,hard

AUTHOR

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

EXTENSIONS

Further terms may be obtained from A000105-A000104.

More terms from Joseph Myers (jsm(AT)polyomino.org.uk), May 05 2002

More terms from Joseph Myers (jsm(AT)polyomino.org.uk), Nov 04 2003

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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