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.

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A367172 a(n) = the maximum number of distinct tilings of a polyiamond of size n using any combination of polyiamond tiles of sizes 1 through n.

Original entry on oeis.org

1, 2, 4, 8, 16, 58, 116, 232, 464, 1690, 3380, 6760, 24712, 49424, 98848, 361258, 722516, 1445032, 5280576, 10561152, 21122304, 77188216
Offset: 1

Views

Author

Craig Knecht and John Mason, Nov 07 2023

Keywords

Comments

The sequence considers reflections and rotations as distinct tilings.
The polyiamonds being tiled and the tiles themselves may be with or without holes.

Examples

			a(3) = 4 because the triamond can be tiled by (1) a triamond, (2) 3 moniamonds, and (3) a moniamond and a diamond in two distinct ways.

Links

Crossrefs

Cf. A000577, A367173, A367174.

Extensions

More terms from Walter Trump, May 01 2024

A367173 a(n) = the maximum number of distinct tilings of a polyomino of size n using any combination of polyomino tiles of sizes 1 through n.

Original entry on oeis.org

1, 2, 4, 12, 24, 74, 148, 456, 1434, 2868, 8832, 27780
Offset: 1

Views

Author

John Mason from an idea of Craig Knecht, Nov 07 2023

Keywords

Comments

The sequence considers reflections and rotations as distinct tilings.
The polyominoes being tiled and the tiles themselves may be with or without holes.

Examples

			a(3) = 4 because any tromino can be tiled by (1) a tromino, (2) 3 monominoes, and (3) a monomino and a domino in two distinct ways.

Crossrefs

Cf. A000105, A367172, A367174.
Showing 1-2 of 2 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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