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A056878 Number of polyominoes with n cells, symmetric about diagonal 2. 19
0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 3, 3, 5, 6, 14, 9, 20, 20, 56, 32, 80, 64, 224, 114, 315, 217, 863, 397, 1234, 751, 3331, 1400, 4816, 2632, 12815, 4973, 18792, 9349, 49400, 17810, 73338, 33557, 190643, 64309, 286368, 121511, 737532, 233891, 1119215, 443271, 2859154 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

LINKS

Robert A. Russell, Table of n, a(n) for n = 1..87

Tomás Oliveira e Silva, Enumeration of polyominoes

D. H. Redelmeier, Counting polyominoes: yet another attack, Discrete Math., 36 (1981), 191-203.

D. H. Redelmeier, Table 3 of Counting polyominoes...

EXAMPLE

For a(7)=1, the heptomino with exactly fourfold symmetry and axes of symmetry parallel to the diagonals of the cells is composed of two 2 X 2 squares with one cell in common. For a(8)=1, the octomino is composed of a 2 X 2 square and the four cells adjacent to two nonadjacent cells of that square.

CROSSREFS

Cf. A000105, A001168, A006746, A056877, A006748, A056878, A006747, A006749.

Sequences classifying polyominoes by symmetry group: A000105, A006746, A006747, A006748, A006749, A056877, A056878, A142886, A144553, A144554.

Sequence in context: A121400 A238003 A218932 * A270520 A092557 A144680

Adjacent sequences:  A056875 A056876 A056877 * A056879 A056880 A056881

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane, Sep 03 2000

EXTENSIONS

More terms from Robert A. Russell, Jan 18 2019

STATUS

approved

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Last modified January 19 12:08 EST 2019. Contains 319306 sequences. (Running on oeis4.)