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A218056 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nXk array.

%I A218056 #6 Jul 22 2025 23:47:07
%S A218056 4,4,4,16,4,16,36,16,16,36,94,36,256,36,94,236,94,1296,1296,94,236,
%T A218056 602,236,8836,9792,8836,236,602,1528,602,55696,114886,114886,55696,
%U A218056 602,1528,3882,1528,362404,1171452,2585920,1171452,362404,1528,3882,9858,3882
%N A218056 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 nXk array.
%C A218056 Table starts
%C A218056 .....4.....4.........16............36..............94..............236
%C A218056 .....4.....4.........16............36..............94..............236
%C A218056 ....16....16........256..........1296............8836............55696
%C A218056 ....36....36.......1296..........9792..........114886..........1171452
%C A218056 ....94....94.......8836........114886.........2585920.........49284832
%C A218056 ...236...236......55696.......1171452........49284832.......1673074136
%C A218056 ...602...602.....362404......12670594......1007805010......62191743600
%C A218056 ..1528..1528....2334784.....134406796.....20132968950....2242118119704
%C A218056 ..3882..3882...15069924....1433633158....404539599336...81495204878500
%C A218056 ..9858..9858...97180164...15254842534...8108559847952.2952333174631968
%C A218056 .25038.25038..626901444..162467654898.162698302825806
%C A218056 .63592.63592.4043942464.1729976648128
%H A218056 R. H. Hardin, <a href="/A218056/b218056.txt">Table of n, a(n) for n = 1..127</a>
%e A218056 Some solutions for n=3 k=4
%e A218056 ..3..1..1..1....0..0..1..1....0..0..0..2....1..1..2..2....1..1..2..3
%e A218056 ..0..0..1..1....0..0..1..1....0..0..0..1....1..1..1..2....1..1..1..2
%e A218056 ..0..0..3..3....3..2..2..2....3..1..1..1....1..1..1..3....1..1..1..2
%Y A218056 Column 3 is A207947(n-1)
%K A218056 nonn,tabl
%O A218056 1,1
%A A218056 _R. H. Hardin_ Oct 19 2012