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A220254 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nXk array.

%I A220254 #6 Jul 23 2025 00:59:25
%S A220254 2,2,2,8,16,8,16,48,48,16,24,256,324,256,24,64,928,4096,4096,928,64,
%T A220254 128,4096,31744,45792,31744,4096,128,232,15872,262144,1048576,1048576,
%U A220254 262144,15872,232,512,65536,2011776,16777216,33350528,16777216,2011776,65536
%N A220254 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nXk array.
%C A220254 Table starts
%C A220254 ....2......2........8........16.........24.........64.......128........232
%C A220254 ....2.....16.......48.......256........928.......4096.....15872......65536
%C A220254 ....8.....48......324......4096......31744.....262144...2011776...16728064
%C A220254 ...16....256.....4096.....45792....1048576...16777216.268435456.4294967296
%C A220254 ...24....928....31744...1048576...33350528.1073741824
%C A220254 ...64...4096...262144..16777216.1073741824
%C A220254 ..128..15872..2011776.268435456
%C A220254 ..232..65536.16728064
%C A220254 ..512.259584
%C A220254 .1024
%H A220254 R. H. Hardin, <a href="/A220254/b220254.txt">Table of n, a(n) for n = 1..59</a>
%e A220254 Some solutions for n=3 k=4
%e A220254 ..0..1..0..0....0..0..0..1....1..0..0..0....0..1..0..1....0..0..0..0
%e A220254 ..0..1..0..0....0..0..0..0....1..0..1..0....0..1..0..0....1..1..0..0
%e A220254 ..1..1..1..1....1..0..1..0....1..1..0..0....0..0..1..0....1..1..1..0
%Y A220254 Column 1 is A220172
%K A220254 nonn,tabl
%O A220254 1,1
%A A220254 _R. H. Hardin_ Dec 08 2012