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A223058 Number of nX4 0..3 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..3 introduced in row major order.

%I A223058 #6 Jul 23 2025 03:26:36
%S A223058 15,1473,213469,31331820,4606719559,677531592132,99653055754459,
%T A223058 14657362298142480,2155865978887475959,317093854966287823308,
%U A223058 46639503202294456685971,6859935143940031077127272
%N A223058 Number of nX4 0..3 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..3 introduced in row major order.
%C A223058 Column 4 of A223062
%H A223058 R. H. Hardin, <a href="/A223058/b223058.txt">Table of n, a(n) for n = 1..210</a>
%F A223058 Empirical: a(n) = 200*a(n-1) -8673*a(n-2) +135916*a(n-3) -736271*a(n-4) -465544*a(n-5) +16580061*a(n-6) -48454316*a(n-7) +18185748*a(n-8) +126046080*a(n-9) -200199168*a(n-10) +88915968*a(n-11) for n>12
%e A223058 Some solutions for n=3
%e A223058 ..0..1..1..1....0..1..1..1....0..0..1..2....0..1..0..2....0..0..1..0
%e A223058 ..1..0..2..3....2..0..3..3....3..2..2..0....2..1..3..2....1..1..0..2
%e A223058 ..0..2..0..2....0..3..1..2....3..1..1..2....0..1..2..3....0..0..1..3
%K A223058 nonn
%O A223058 1,1
%A A223058 _R. H. Hardin_ Mar 13 2013