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 1-9 of 9 results.

A030446 Number of n-celled polyknights (polyominoes connected by knight's moves).

Original entry on oeis.org

1, 1, 6, 35, 290, 2680, 26379, 267598, 2758016, 28749456, 302120154, 3196299285, 34007337629
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

A polyknight is a variant of a polyomino in which two tiles a knight's move apart are considered adjacent. A polyknight need not be connected in the sense of a polyomino.
These are free polyknights.

Links

Crossrefs

Cf. A030445, A030444, A030447, A030448.

Extensions

Corrected and extended by Joseph Myers, May 21 2004
a(12)-a(13) from John Mason, Jan 13 2023

A030445 Number of one-sided n-celled polyknights.

Original entry on oeis.org

1, 2, 8, 68, 550, 5328, 52484, 534793, 5513338, 57494308, 604212943, 6392547793, 68014392915
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

A polyknight is a variant of a polyomino in which two tiles a knight's move apart are considered adjacent. A polyknight need not be connected in the sense of a polyomino.

Examples

			The 2 polyknights with 2 cells:
  X.. ..X
  ..X X..
The 8 polyknights with 3 cells:
  X. X.. X.. X... X.X .X. .X. X...
  .. ... ..X .... ... X.. ..X ...X
  .X .X. ... .X.. .X. ..X X.. .X..
  .. ... .X. ...X
  X. ..X

Crossrefs

Cf. A030444, A030446, A030447, A030448.

Extensions

Corrected and extended by Joseph Myers, May 21 2004
a(12)-a(13) from John Mason, Jan 13 2023

A030447 Number of n-celled polyknights with bilateral symmetry.

Original entry on oeis.org

1, 0, 4, 2, 30, 32, 274, 403, 2694, 4604, 27365, 50777, 282343
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

A polyknight is a variant of a polyomino in which two tiles a knight's move apart are considered adjacent. A polyknight need not be connected in the sense of a polyomino.

Crossrefs

Cf. A030445, A030444, A030446, A030448.

Extensions

Corrected and extended by Joseph Myers, May 21 2004
a(12)-a(13) from John Mason, Jan 13 2023

A030448 Number of n-celled polyknights without bilateral symmetry.

Original entry on oeis.org

0, 1, 2, 33, 260, 2648, 26105, 267195, 2755322, 28744852, 302092789, 3196248508, 34007055286
Offset: 1

Views

Author

David W. Wilson

Keywords

Comments

A polyknight is a variant of a polyomino in which two tiles a knight's move apart are considered adjacent. A polyknight need not be connected in the sense of a polyomino.

Crossrefs

Cf. A030445, A030444, A030446, A030447.

Extensions

Corrected and extended by Joseph Myers, May 21 2004
a(12)-a(13) from John Mason, Jan 13 2023

A093877 Number of fixed n-celled polyzebras (or zebra-move-connected polyominoes).

Original entry on oeis.org

1, 4, 28, 234, 2162, 21272, 218740, 2323730, 25314097, 281299736, 3176220308, 36332751862, 420086210688
Offset: 1

Views

Author

Guenter Stertenbrink (Sterten(AT)aol.com), May 21 2004

Keywords

Comments

A polyzebra is a (2,3) leaper. A polyzebra need not be connected in the usual edge-connected sense.
The first 9 terms coincide with A151830. - John Mason, Jun 24 2025

Crossrefs

Cf. A030444 (polyknights), A093989, A093990, A093991, A093992.

Extensions

a(11) from Joseph Myers, May 21 2004
a(12) (computed by Gadi Aleksandrowicz's program) by Gill Barequet, Jun 09 2011
a(13) from John Mason, Jan 13 2023

A093989 Number of free n-celled polyzebras (or zebra-move-connected polyominoes).

Original entry on oeis.org

1, 1, 6, 35, 290, 2714, 27524, 291073, 3166124, 35169275, 397047529, 4541672859, 52510998347
Offset: 1

Views

Author

Joseph Myers, May 25 2004

Keywords

Comments

A polyzebra is a (2,3) leaper. A polyzebra need not be connected in the usual edge-connected sense.

Crossrefs

Cf. A093877, A093990, A093991, A093992, A030444.

A093990 Number of one-sided n-celled polyzebras (or zebra-move-connected polyominoes).

Original entry on oeis.org

1, 2, 8, 68, 550, 5404, 54768, 581868, 6329407, 70335294, 794064734, 9083306888, 105021662154
Offset: 1

Views

Author

Joseph Myers, May 25 2004

Keywords

Comments

A polyzebra is a (2,3) leaper. A polyzebra need not be connected in the usual edge-connected sense.

Crossrefs

Cf. A093877, A093989, A093991, A093992, A030444.

Extensions

a(12)-a(13) from John Mason, Jan 13 2023

A093991 Number of n-celled polyzebras with bilateral symmetry.

Original entry on oeis.org

1, 0, 4, 2, 30, 24, 280, 278, 2841, 3256, 30324, 38830, 334540
Offset: 1

Views

Author

Joseph Myers, May 25 2004

Keywords

Comments

A polyzebra is a (2,3) leaper. A polyzebra need not be connected in the usual edge-connected sense.

Crossrefs

Cf. A093877, A093989, A093990, A093992, A030444.

Extensions

a(12)-a(13) from John Mason, Jan 13 2023

A093992 Number of n-celled polyzebras without bilateral symmetry.

Original entry on oeis.org

0, 1, 2, 33, 260, 2690, 27244, 290795, 3163283, 35166019, 397017205, 4541634029, 52510663807
Offset: 1

Views

Author

Joseph Myers, May 25 2004

Keywords

Comments

A polyzebra is a (2,3) leaper. A polyzebra need not be connected in the usual edge-connected sense.

Crossrefs

Cf. A093877, A093989, A093990, A093991, A030444.

Extensions

a(12)-a(13) from John Mason, Jan 13 2023
Showing 1-9 of 9 results.

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

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