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Number of symmetric non-isomorphic free unrooted snake-shaped polyominoes of maximum length on a quadratic board of n X n squares.
(history; published version)
#9 by Alois P. Heinz at Sun Mar 08 23:45:52 EDT 2020
STATUS

reviewed

approved

#8 by Michel Marcus at Sun Mar 08 23:33:03 EDT 2020
STATUS

proposed

reviewed

#7 by Hugo Pfoertner at Sun Mar 08 23:31:12 EDT 2020
STATUS

editing

proposed

#6 by Hugo Pfoertner at Sun Mar 08 23:29:52 EDT 2020
DATA

1, 1, 2, 3, 2, 0, 3, 0, 2, 0

STATUS

approved

editing

#5 by Susanna Cuyler at Thu Mar 05 22:57:47 EST 2020
STATUS

proposed

approved

#4 by Hugo Pfoertner at Thu Mar 05 15:18:30 EST 2020
STATUS

editing

proposed

#3 by Hugo Pfoertner at Thu Mar 05 14:25:30 EST 2020
EXAMPLE

a(1) = 1 (L = A331968(1) = 1):

X

.

a(2) = 1 (L = 3):

X O

. X

.

a(3) = 2 (L = 7):

X O O . X O

. . O X . O

X O O O O O

.

a(4) = 3 (L = 11)

. X O . . X O O . X O O

X . O O X . . O X . . O

O O . O O . . O O . O O

. O O O O O O O O O O .

.

a(5) = 2 (L = 17)

O O O O X O O O O O

O . . . . O . . . O

O O O O O O O . O O

. . . . O . O . O .

X O O O O X O . O X

.

a(7) = 3 (L = 33)

O O O . O O O O O X . O O O O O O . O O O

O . O . O . O O . . O O . O O . O O O . O

O . O O O . O O O . O . O O O O . . . O O

O O . . . O O . O . O . O . . O O . O O .

. O O . O O . O O . O . O O X . O . O . x

X . O . O . X O . O O . . O O . O . O . O

O O O . O O O O O O . X O O O O O . O O O

.

a(9) = 2 (L = 53)

. O X . O O O O O O O X . O O O O O

O O . O O . . . O O . . O O . . . O

O . O O . O O O O O . O O . O O O O

O . O . O O . . . O . O . O O . . .

O O O . O . O O O O O O . O . . . .

. . . O O . O . O . . . O O . O O O

O O O O . O O . O O O O O . O O . O

O . . . O O . O O O . . . O O . . O

O O O O O . X O . O O O O O . X O O

#2 by Hugo Pfoertner at Thu Mar 05 13:15:19 EST 2020
NAME

allocated for Hugo PfoertnerNumber of symmetric non-isomorphic free unrooted snake-shaped polyominoes of maximum length on a quadratic board of n X n squares.

DATA

1, 1, 2, 3, 2, 0, 3, 0, 2

OFFSET

1,3

COMMENTS

Polyominoes only differing by any combination of translation, rotation and reflection are counted only once.

CROSSREFS
KEYWORD

allocated

nonn,hard,more

AUTHOR

Hugo Pfoertner, Mar 05 2020

STATUS

approved

editing

#1 by Hugo Pfoertner at Mon Mar 02 11:58:42 EST 2020
NAME

allocated for Hugo Pfoertner

KEYWORD

allocated

STATUS

approved