A067015 Triangle T(n,k) (n>=1, rows have irregular lengths) giving number of arrangements of k nonattacking princes on an n X n staggered hexagonal torus board.

1, 1, 4, 1, 9, 9, 3, 1, 16, 72, 96, 32, 1, 25, 225, 910, 1695, 1355, 440, 70, 5, 1, 36, 522, 3936, 16659, 39996, 52860, 36108, 11871, 1960, 270, 36, 3, 1, 49, 1029, 12166, 89551, 429058, 1361619, 2864113, 3946208, 3481835, 1904833, 621026, 116060, 12285, 693, 7

Offset: 1

Author

R. H. Hardin, Feb 17 2002

Keywords

• tabf
• nonn

Comments

A partition function for the staggered grid torus.

Examples

			1; 1,4; 1,9,9,3; 1,16,72,96,32; 1,25,225,910,1695,1355,440,70,5; ...
		

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..413 (rows 1..15 flattened)

Crossrefs

Row sums give A066865.

Extensions

Offset corrected by Sean A. Irvine, Nov 29 2023