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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A373635 Number of free n-celled polyominoes to which two inequivalent cells can be adjoined such that the two resulting free (n+1)-celled polyominoes are identical.

Original entry on oeis.org

0, 0, 0, 0, 1, 1, 0, 0, 4, 6, 2, 0, 17, 29
Offset: 1

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Author

Pontus von Brömssen, Jun 13 2024

Keywords

Comments

Two cells that can be adjoined to an n-celled polyomino are equivalent if there is an isomorphism between the two resulting (n+1)-celled polyominoes that maps the adjoined cell of the first to the adjoined cell of the second.

Examples

			The smallest example is the P pentomino shown below. The two free hexominoes obtained by adjoining one of the two cells marked "*" are identical, but there is no isomorphism between them that also maps the marked cell of the first to the marked cell of the second.
    _ _
  *|   |
   |  _|*
   |_|
		

Crossrefs

A373636 Number of free n-celled (planar) polyhexes to which two inequivalent cells can be adjoined such that the two resulting free (n+1)-celled polyhexes are identical.

Original entry on oeis.org

0, 0, 0, 1, 1, 0, 7, 8, 0, 40
Offset: 1

Views

Author

Pontus von Brömssen, Jun 13 2024

Keywords

Comments

Two cells that can be adjoined to an n-celled polyhex are equivalent if there is an isomorphism between the two resulting (n+1)-celled polyhexes that maps the adjoined cell of the first to the adjoined cell of the second.

Crossrefs

Showing 1-2 of 2 results.