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A216760 T(n,k)=Number of horizontal, vertical, diagonal, antidiagonal or knight-move neighbor colorings of an nXk array with new integer colors introduced in row major order.

%I A216760 #5 Jul 22 2025 23:35:18
%S A216760 1,1,1,2,1,2,5,4,4,5,15,34,60,34,15,52,500,2957,2957,500,52,203,10900,
%T A216760 337731,1340534,337731,10900,203,877,322768,71786149,1842474893,
%U A216760 1842474893,71786149,322768,877,4140,12297768,24889021634
%N A216760 T(n,k)=Number of horizontal, vertical, diagonal, antidiagonal or knight-move neighbor colorings of an nXk array with new integer colors introduced in row major order.
%C A216760 Table starts
%C A216760 ...1......1........2..........5.........15.......52.........203......877.4140
%C A216760 ...1......1........4.........34........500....10900......322768.12297768
%C A216760 ...2......4.......60.......2957.....337731.71786149.24889021634
%C A216760 ...5.....34.....2957....1340534.1842474893
%C A216760 ..15....500...337731.1842474893
%C A216760 ..52..10900.71786149
%C A216760 .203.322768
%C A216760 .877
%e A216760 Some solutions for n=3 k=4
%e A216760 ..0..2..5..6....0..3..0..2....0..3..2..3....0..3..6..3....0..3..5..0
%e A216760 ..1..3..1..3....1..4..6..4....1..4..5..6....1..4..1..2....1..4..1..2
%e A216760 ..0..4..0..4....2..5..7..8....2..3..2..3....2..5..0..7....2..3..5..6
%Y A216760 Column 1 is A000110(n-1)
%Y A216760 Column 2 is A207864(n-1)
%K A216760 nonn,tabl
%O A216760 1,4
%A A216760 _R. H. Hardin_ Sep 15 2012