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A198654 T(n,k)=Number of nXk 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.

%I A198654 #7 Jul 22 2025 13:03:06
%S A198654 0,1,1,1,3,1,2,14,14,2,3,76,185,76,3,6,488,3904,3904,488,6,11,3521,
%T A198654 98467,344008,98467,3521,11,23,28030,3050721,39898934,39898934,
%U A198654 3050721,28030,23,47,242849,108395401,5870175231,21787578805,5870175231,108395401
%N A198654 T(n,k)=Number of nXk 0..6 arrays with values 0..6 introduced in row major order and each element equal to at least one horizontal or vertical neighbor.
%C A198654 Table starts
%C A198654 ...0.......1..........1............2..............3..............6...........11
%C A198654 ...1.......3.........14...........76............488...........3521........28030
%C A198654 ...1......14........185.........3904..........98467........3050721....108395401
%C A198654 ...2......76.......3904.......344008.......39898934.....5870175231.996290832880
%C A198654 ...3.....488......98467.....39898934....21787578805.15022218265442
%C A198654 ...6....3521....3050721...5870175231.15022218265442
%C A198654 ..11...28030..108395401.996290832880
%C A198654 ..23..242849.4339928301
%C A198654 ..47.2264711
%C A198654 .103
%H A198654 R. H. Hardin, <a href="/A198654/b198654.txt">Table of n, a(n) for n = 1..59</a>
%e A198654 Some solutions with all values 0 to 6 for n=4 k=4
%e A198654 ..0..0..0..1....0..0..1..1....0..0..1..2....0..1..1..2....0..0..1..1
%e A198654 ..2..2..3..1....2..2..2..2....3..3..1..2....0..3..3..2....2..2..3..3
%e A198654 ..4..4..3..5....3..4..5..6....4..4..5..5....4..5..6..6....4..5..5..6
%e A198654 ..6..6..6..5....3..4..5..6....4..6..6..5....4..5..6..6....4..5..5..6
%K A198654 nonn,tabl
%O A198654 1,5
%A A198654 _R. H. Hardin_ Oct 28 2011