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 1-4 of 4 results.

A143870 Number of ways of placing kings with no more than 1 mutual attack on an n X n chessboard.

Original entry on oeis.org

1, 2, 11, 91, 1462, 38483, 1755113, 140404442, 19400886875, 4764856837927, 2050537030592506, 1572046460892726633, 2133798146501117397613, 5167591018292995062973870, 22288638410038000574365307819, 171813750317653145879779979300275, 2366759768251260378737273078723819964
Offset: 0

Views

Author

R. H. Hardin, Sep 04 2008

Keywords

Examples

			Configurations of 0,1,2,3 or 4 kings on an 2 X 2 chessboard and the number of mutual attacks:
.. .. .. K. .K .. K. KK .K .K K. K. .K KK KK KK
.. K. .K .. .. KK K. .. .K K. .K KK KK .K K. KK
0  0  0  0  0  1  1  1  1  1  1  3  3  3  3  6
From 16 configurations is 11 with no more than 1 mutual attack, a(2)=11.
		

Crossrefs

Extensions

Example added by Vaclav Kotesovec, Oct 20 2014
Additional terms from R. H. Hardin, Feb 13 2016

A143875 Number of ways of placing kings with no more than 2 mutual attacks on an n X n chessboard.

Original entry on oeis.org

1, 2, 11, 155, 3280, 124511, 7623993, 795923016, 140176308483, 42642616703815
Offset: 0

Views

Author

R. H. Hardin, Sep 04 2008

Keywords

Crossrefs

A143881 Number of ways of placing kings with no more than 3 mutual attacks on an n X n chessboard.

Original entry on oeis.org

1, 2, 15, 207, 6084, 292607, 23511001, 3132847224, 693856861039, 259806377729539
Offset: 0

Views

Author

R. H. Hardin, Sep 04 2008

Keywords

Crossrefs

A143892 Number of ways of placing kings with no more than 4 mutual attacks on an n X n chessboard symmetric under 90-degree rotation.

Original entry on oeis.org

1, 2, 1, 5, 6, 29, 47, 300, 665, 5276, 15554, 160307, 632041, 8448701, 44021226
Offset: 0

Views

Author

R. H. Hardin, Sep 04 2008

Keywords

Examples

			Example: for n=3 the a(3)=5 solutions are
. . .   . . .   K . K   K . K   . K .
. . .   . K .   . . .   . K .   K . K
. . .   . . .   K . K   K . K   . K .
		

Crossrefs

Showing 1-4 of 4 results.