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A189275 Number of nX4 array permutations with each element not moved or moved diagonally or antidiagonally by one.

%I A189275 #7 Jul 22 2025 11:39:51
%S A189275 1,25,225,2704,29241,323761,3553225,39100009,429981696,4729725529,
%T A189275 52022767225,572215089601,6293931930441,69228590218384,
%U A189275 761462776998225,8375523274873225,92124512415080401,1013300979290647441
%N A189275 Number of nX4 array permutations with each element not moved or moved diagonally or antidiagonally by one.
%C A189275 Column 4 of A189280
%H A189275 R. H. Hardin, <a href="/A189275/b189275.txt">Table of n, a(n) for n = 1..200</a>
%F A189275 Empirical: a(n) = 12*a(n-1) -7*a(n-2) -78*a(n-3) +365*a(n-4) +67*a(n-5) +269*a(n-6) -269*a(n-7) -67*a(n-8) -365*a(n-9) +78*a(n-10) +7*a(n-11) -12*a(n-12) +a(n-13)
%e A189275 Some solutions for 3X4
%e A189275 ..0..4..2..3....0..6..5..3....0..6..7..3....0..6..7..3....0..6..2..3
%e A189275 ..1.10.11..7....4.10..1..2....9.10..1..2....9..8..1..2....1.10..9..7
%e A189275 ..8..9..5..6....8..9..7.11....8..4..5.11....5..4.10.11....8..4..5.11
%K A189275 nonn
%O A189275 1,2
%A A189275 _R. H. Hardin_ Apr 19 2011