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A203982 Number of (n+1)X7 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order.

%I A203982 #7 Jul 22 2025 17:42:33
%S A203982 6144,186624,5668704,178855776,5671161216,180709558848,5764846339584,
%T A203982 184042295652096,5876808948959616,187680079115373888,
%U A203982 5993929440264576384,191431738781962474176,6113912564634046252416,195265725121889159876928
%N A203982 Number of (n+1)X7 0..2 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order.
%C A203982 Column 6 of A203984
%H A203982 R. H. Hardin, <a href="/A203982/b203982.txt">Table of n, a(n) for n = 1..210</a>
%F A203982 Empirical: a(n) = 39*a(n-1) +117*a(n-2) -13419*a(n-3) +42120*a(n-4) +1465776*a(n-5) -7558272*a(n-6) -59591376*a(n-7) +389959596*a(n-8) +776691180*a(n-9) -7353962460*a(n-10) -230291100*a(n-11) +53356676400*a(n-12) -41452398000*a(n-13) -124357194000*a(n-14) +143489070000*a(n-15)
%e A203982 Some solutions for n=4
%e A203982 ..0..1..2..2..1..2..2....0..0..1..0..1..2..1....0..1..2..2..1..2..0
%e A203982 ..2..1..0..0..0..0..0....2..2..2..2..1..2..0....2..1..0..0..0..2..1
%e A203982 ..2..1..2..1..1..1..1....1..1..1..0..0..2..0....2..1..2..2..1..2..0
%e A203982 ..0..1..2..0..0..0..0....2..2..2..2..1..2..1....2..1..0..0..1..2..1
%e A203982 ..2..1..2..1..1..1..1....0..0..1..0..1..2..0....0..1..2..2..1..0..0
%K A203982 nonn
%O A203982 1,1
%A A203982 _R. H. Hardin_ Jan 09 2012