cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A332920 Number of non-isomorphic free unrooted snake-shaped polyominoes of maximum length on a quadratic board of n X n squares.

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%I A332920 #11 Mar 08 2020 23:45:31
%S A332920 1,1,2,12,8,17,8,27,3,188
%N A332920 Number of non-isomorphic free unrooted snake-shaped polyominoes of maximum length on a quadratic board of n X n squares.
%C A332920 Polyominoes only differing by any combination of translation, rotation and reflection are counted only once.
%e A332920 a(4) = 12 (L = A331968(4) = 11):
%e A332920   A332921(4) = 3 symmetric snakes
%e A332920   . X O .     . X O O     . X O O     X . X O     X . X .     X . X O
%e A332920   X . O O     X . . O     X . . O     O . . O     O . O O     O . . O
%e A332920   O O . O     O . . O     O . O O     O . . O     O . . O     O . O O
%e A332920   . O O O     O O O O     O O O .     O O O O     O O O O     O O O .
%e A332920 .
%e A332920   X . X O     X . X .     X . X O     . X O .     . O O O     . O O O
%e A332920   O . . O     O . O O     O O . O     X . O O     . X . O     . X . O
%e A332920   O O . O     O O . O     . O . O     O . . O     X . . O     X . O O
%e A332920   . O O O     . O O O     . O O O     O O O O     O O O O     O O O .
%e A332920 .
%e A332920 a(5) = 8 (L = 17)
%e A332920   A332921(5) = 2 symmetric snakes
%e A332920   O O O O X       O O O O O       O O O O O       X . O O X
%e A332920   O . . . .       O . . . O       O . . . O       O . O . .
%e A332920   O O O O O       O O . O O       O O X . O       O . O O O
%e A332920   . . . . O       . O . O .       . . . . O       O . . . O
%e A332920   X O O O O       X O . O X       X O O O O       O O O O O
%e A332920 .
%e A332920   O O O O .       O O O O O       X . O O X       O O O O .
%e A332920   O . . O O       O . . . O       O . O . .       O . . O O
%e A332920   O O X . O       O O X . O       O . O O O       O O X . O
%e A332920   . . . . O       . . . O O       O O . . O       . . . O O
%e A332920   X O O O O       X O O O .       . O O O O       X O O O .
%Y A332920 Cf. A331968 (maximum length), A331986 (counts including isomorphisms), A332921 (subset of symmetric snakes).
%K A332920 nonn,hard,more
%O A332920 1,3
%A A332920 _Hugo Pfoertner_, Mar 05 2020