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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.
2
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
1,3
COMMENTS
A partition function for the staggered grid torus.
LINKS
Sean A. Irvine, Table of n, a(n) for n = 1..413 (rows 1..15 flattened)
EXAMPLE
1; 1,4; 1,9,9,3; 1,16,72,96,32; 1,25,225,910,1695,1355,440,70,5; ...
CROSSREFS
Row sums give A066865.
Sequence in context: A182545 A084887 A367025 * A179193 A158199 A091885
KEYWORD
tabf,nonn
AUTHOR
R. H. Hardin, Feb 17 2002
EXTENSIONS
Offset corrected by Sean A. Irvine, Nov 29 2023
STATUS
approved