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%I #8 Apr 25 2024 13:41:58
%S 0,1,1,1,3,1,2,14,14,2,3,76,185,76,3,6,488,3893,3893,488,6,11,3508,
%T 95209,322230,95209,3508,11,23,27422,2654693,30407251,30407251,
%U 2654693,27422,23,47,227045,77622801,3075124662,10239497407,3075124662,77622801,227045
%N T(n,k) = Number of n X k 0..4 arrays with values 0..4 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.
%C Table starts:
%C ...0........1...........1..............2................3................6
%C ...1........3..........14.............76..............488.............3508
%C ...1.......14.........185...........3893............95209..........2654693
%C ...2.......76........3893.........322230.........30407251.......3075124662
%C ...3......488.......95209.......30407251......10239497407....3588013895024
%C ...6.....3508.....2654693.....3075124662....3588013895024.4285681886701131
%C ..11....27422....77622801...316137386807.1259339424693241
%C ..23...227045..2332544112.32741782389619
%C ..47..1950662.70818414642
%C .103.17146596
%H R. H. Hardin, <a href="/A198708/b198708.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions with all values 0 to 4 for n=4 and k=4:
%e ..0..1..2..3....0..0..1..1....0..0..1..1....0..0..0..0....0..0..1..2
%e ..0..1..2..3....0..1..1..1....2..3..3..1....1..1..1..2....3..3..1..2
%e ..4..4..0..0....2..3..3..1....2..2..0..0....1..3..3..2....4..4..0..0
%e ..3..3..2..2....2..2..4..4....3..3..4..4....3..3..4..4....3..3..0..0
%Y Column 1 is A198662.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Oct 29 2011
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