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.

Showing 1-2 of 2 results.

A234013 Number of maximally biased free polyominoes with n squares.

Original entry on oeis.org

1, 1, 2, 1, 1, 11, 8, 3, 1, 79, 36, 8, 2, 540, 164, 31, 4, 3174, 749, 106, 11, 17443, 3312, 397, 27
Offset: 1

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Author

John Mason, Dec 27 2013

Keywords

Comments

Define the bias of a polyomino to be the difference between the number of black squares and the number of white squares when chessboard coloring is applied to the polyomino. Maximally biased polyominoes of size n are those sharing the maximum value of bias among all polyominoes of n squares. For n = 4m + 1, for integer m, all maximally biased polyominoes may be built starting with a monomino and then successively adding "airplane" tetrominoes.

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More terms from John Mason, Jan 03 2015

A359526 Number of unbiased (balanced) free polyiamonds with 2n cells.

Original entry on oeis.org

1, 2, 10, 44, 283, 1922, 14163, 107771, 841846
Offset: 1

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Author

John Mason, Jan 05 2023

Keywords

Comments

Define the bias of a polyiamond to be the difference between the number of black triangles and the number of white triangles when chessboard coloring is applied to the polyiamond. Unbiased polyiamonds are those having an equal number of black and white triangles. The sequence is defined for 2n rather than n as odd-sized polyiamonds are obviously biased.

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Showing 1-2 of 2 results.