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A202931 T(n,k)=Number of nXk 0..2 arrays with adjacent row and column sums unequal.

%I A202931 #7 Jul 22 2025 16:52:50
%S A202931 3,6,6,12,52,12,24,352,352,24,48,2444,8460,2444,48,96,17508,194636,
%T A202931 194636,17508,96,192,124340,4439916,14394092,4439916,124340,192,384,
%U A202931 872940,100236532,1032147416,1032147416,100236532,872940,384,768,6112832
%N A202931 T(n,k)=Number of nXk 0..2 arrays with adjacent row and column sums unequal.
%C A202931 Table starts
%C A202931 ....3........6..........12............24.............48.............96
%C A202931 ....6.......52.........352..........2444..........17508.........124340
%C A202931 ...12......352........8460........194636........4439916......100236532
%C A202931 ...24.....2444......194636......14394092.....1032147416....72961197604
%C A202931 ...48....17508.....4439916....1032147416...231197740500.50721408178292
%C A202931 ...96...124340...100236532...72961197604.50721408178292
%C A202931 ..192...872940..2247406834.5108912536716
%C A202931 ..384..6112832.50175952564
%C A202931 ..768.42822036
%C A202931 .1536
%H A202931 R. H. Hardin, <a href="/A202931/b202931.txt">Table of n, a(n) for n = 1..60</a>
%e A202931 Some solutions for n=4 k=3
%e A202931 ..0..0..1....0..2..1....0..2..1....0..2..0....0..1..2....1..0..2....0..2..1
%e A202931 ..1..1..1....1..1..2....1..2..2....2..0..1....0..0..0....2..1..1....2..2..1
%e A202931 ..2..0..2....0..2..0....2..1..0....2..2..2....0..1..1....0..2..0....0..1..1
%e A202931 ..1..0..2....2..2..2....0..0..1....0..2..0....2..1..1....0..1..0....0..1..2
%Y A202931 Diagonal is A202649
%K A202931 nonn,tabl
%O A202931 1,1
%A A202931 _R. H. Hardin_ Dec 26 2011