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A198661 T(n,k)=Number of nXk 0..7 arrays with values 0..7 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.

%I A198661 #7 Jul 22 2025 13:03:50
%S A198661 0,1,1,1,3,1,2,14,14,2,3,76,185,76,3,6,488,3904,3904,488,6,11,3521,
%T A198661 98467,344044,98467,3521,11,23,28030,3053286,40065880,40065880,
%U A198661 3053286,28030,23,47,242883,109133049,6046334324,22693251873,6046334324,109133049
%N A198661 T(n,k)=Number of nXk 0..7 arrays with values 0..7 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.
%C A198661 Table starts
%C A198661 ...0.......1..........1.............2..............3..............6
%C A198661 ...1.......3.........14............76............488...........3521
%C A198661 ...1......14........185..........3904..........98467........3053286
%C A198661 ...2......76.......3904........344044.......40065880.....6046334324
%C A198661 ...3.....488......98467......40065880....22693251873.17510670291958
%C A198661 ...6....3521....3053286....6046334324.17510670291958
%C A198661 ..11...28030..109133049.1099981072751
%C A198661 ..23..242883.4460603630
%C A198661 ..47.2267306
%C A198661 .103
%H A198661 R. H. Hardin, <a href="/A198661/b198661.txt">Table of n, a(n) for n = 1..59</a>
%e A198661 Some solutions with all values 0 to 7 for n=6 k=3
%e A198661 ..0..1..2....0..1..1....0..1..1....0..1..1....0..1..1....0..1..1....0..1..2
%e A198661 ..0..1..2....0..2..2....0..2..2....0..2..3....0..0..0....0..2..3....0..1..2
%e A198661 ..3..0..4....3..3..3....3..3..4....4..2..3....2..3..3....0..2..3....3..4..5
%e A198661 ..3..0..4....3..4..4....5..2..4....4..4..5....2..4..4....4..5..5....3..4..5
%e A198661 ..5..5..6....5..6..7....5..2..6....6..6..5....5..6..7....4..5..6....0..0..6
%e A198661 ..7..7..6....5..6..7....7..7..6....7..7..5....5..6..7....7..7..6....7..7..6
%K A198661 nonn,tabl
%O A198661 1,5
%A A198661 _R. H. Hardin_ Oct 28 2011