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A088972 Triangle read by rows: colored polyominoes. For n >= 1, 1 <= k <= n, T(n, k) is the number of k-colored n-celled polyominoes, counted up to rotation, reflection, and permutation of the colors. Adjacent cells must be different colors. T(n, k) counts only polyominoes that include all k colors. +0
1
1, 0, 1, 0, 2, 2, 0, 5, 10, 5, 0, 12, 66, 55, 12, 0, 35, 415, 695, 285, 35, 0, 108, 2844, 8227, 6080, 1446, 108, 0, 369, 19875, 95697, 113418, 46441, 7140, 369, 0, 1285, 142046, 1092358, 1964647, 1238196, 320074, 34385, 1285, 0, 4655, 1026197, 12351464 (list; table; graph; listen)
OFFSET

1,5

COMMENT

For n > 1, T(n, 2) = T(n, n) = A000105(n).

LINKS

D. Wasserman, Illustrations of colored pentominoes and hexominoes

EXAMPLE

RBRG is considered the same as BRBG, but different from RBGR.

1; 0,1; 0,2,2; 0,5,10,5; ...

PROGRAM

See the link for Matlab code.

CROSSREFS

Cf. A000105.

Adjacent sequences: A088969 A088970 A088971 this_sequence A088973 A088974 A088975

Sequence in context: A009545 A084102 A052079 this_sequence A100334 A129936 A076256

KEYWORD

nonn,tabl,less

AUTHOR

David Wasserman (wasserma(AT)spawar.navy.mil), Oct 30 2003

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Last modified May 16 19:35 EDT 2008. Contains 139737 sequences.


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