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%I #4 Dec 18 2014 09:47:17
%S 2443,3178,8329,24336,80820,242136,748814,2418811,7241365,22589612,
%T 72639968,217514078,679385411,2183688694,6538414996,20427497702,
%U 65660270533,196569208093,614209968459,1974446148302,5909934746924
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7
%C Column 4 of A252558
%H R. H. Hardin, <a href="/A252554/b252554.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 82*a(n-3) -2429*a(n-6) +33486*a(n-9) -261118*a(n-12) +1295078*a(n-15) -4396152*a(n-18) +10604184*a(n-21) -18276440*a(n-24) +22254797*a(n-27) -19021565*a(n-30) +11461650*a(n-33) -4926134*a(n-36) +1526628*a(n-39) -338818*a(n-42) +51264*a(n-45) -4731*a(n-48) +223*a(n-51) -4*a(n-54) for n>60
%e Some solutions for n=4
%e ..0..2..2..0..2..2....3..2..2..3..2..2....3..1..3..3..1..3....0..1..0..3..1..3
%e ..2..3..2..2..0..0....3..1..3..3..1..3....2..2..0..2..2..3....2..2..3..2..2..0
%e ..3..3..1..3..3..1....2..2..3..2..2..0....3..2..2..3..2..2....3..2..2..0..2..2
%e ..3..2..2..0..2..2....3..2..2..0..2..2....3..1..3..3..1..3....3..1..3..3..1..3
%e ..2..3..2..2..0..2....0..1..3..3..1..3....2..2..0..2..2..0....2..2..3..2..2..3
%e ..0..3..1..3..3..1....2..2..0..2..2..3....3..2..2..0..2..2....0..2..2..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 18 2014