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A221072 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their king-move neighbors in a random 0..3 nXk array.

%I A221072 #6 Jul 23 2025 01:40:50
%S A221072 2,2,2,8,8,8,16,20,20,16,24,56,512,56,24,64,168,4096,4096,168,64,128,
%T A221072 476,26976,65536,26976,476,128,232,1364,262144,829184,829184,262144,
%U A221072 1364,232,512,3952,2097152,16777216,17530176,16777216,2097152,3952,512,1024,11360
%N A221072 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their king-move neighbors in a random 0..3 nXk array.
%C A221072 Table starts
%C A221072 ....2.....2.........8.........16..........24..........64.........128........232
%C A221072 ....2.....8........20.........56.........168.........476........1364.......3952
%C A221072 ....8....20.......512.......4096.......26976......262144.....2097152...16401664
%C A221072 ...16....56......4096......65536......829184....16777216...268435456.4185880576
%C A221072 ...24...168.....26976.....829184....17530176...811440640.25241048576
%C A221072 ...64...476....262144...16777216...811440640.68719476736
%C A221072 ..128..1364...2097152..268435456.25241048576
%C A221072 ..232..3952..16401664.4185880576
%C A221072 ..512.11360.134217728
%C A221072 .1024.32692
%C A221072 .1984
%H A221072 R. H. Hardin, <a href="/A221072/b221072.txt">Table of n, a(n) for n = 1..70</a>
%e A221072 Some solutions for n=3 k=4
%e A221072 ..0..0..0..1....1..1..1..1....1..0..0..1....1..0..1..0....1..1..0..1
%e A221072 ..1..1..0..0....0..1..0..0....0..1..0..0....0..0..1..0....0..0..0..0
%e A221072 ..0..0..1..1....1..0..1..1....0..0..1..0....0..1..0..0....0..1..0..0
%Y A221072 Column 1 is A220172
%K A221072 nonn,tabl
%O A221072 1,1
%A A221072 _R. H. Hardin_ Dec 31 2012