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%I #4 Apr 10 2015 13:31:32
%S 641,4219,28655,187203,1226781,8090191,53254665,350253925,2304752967,
%T 15167443677,99803396861,656712280793,4321347940353,28435562985711,
%U 187111644664607,1231234858650427,8101804934566085,53311657284829409
%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 0 or 1 and no column sum 0 or 1
%C Column 4 of A256810
%H R. H. Hardin, <a href="/A256806/b256806.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +13*a(n-2) +121*a(n-3) +332*a(n-4) -2*a(n-5) -2799*a(n-6) -10186*a(n-7) -9644*a(n-8) +35668*a(n-9) +131106*a(n-10) +139385*a(n-11) -237406*a(n-12) -963982*a(n-13) -836546*a(n-14) +1102384*a(n-15) +3131208*a(n-16) +2840967*a(n-17) -231470*a(n-18) -5676111*a(n-19) -9315120*a(n-20) -5371520*a(n-21) +4171731*a(n-22) +14048634*a(n-23) +17508755*a(n-24) +7866028*a(n-25) -9928026*a(n-26) -20634228*a(n-27) -21124893*a(n-28) -6573699*a(n-29) +10015369*a(n-30) +17679438*a(n-31) +12573402*a(n-32) +4683466*a(n-33) -5611735*a(n-34) -6207729*a(n-35) -4027747*a(n-36) -1377914*a(n-37) +1349443*a(n-38) +824684*a(n-39) +665438*a(n-40) +187860*a(n-41) -123152*a(n-42) -35824*a(n-43) -58908*a(n-44) -8273*a(n-45) +4508*a(n-46) -246*a(n-47) +1776*a(n-48) +64*a(n-49) -46*a(n-50) +30*a(n-51) -12*a(n-52)
%e Some solutions for n=4
%e ..1..0..1..1..1..0....0..1..1..1..1..1....1..0..1..1..1..1....0..1..1..1..0..1
%e ..1..1..1..1..0..1....1..1..1..1..1..1....1..1..1..0..1..1....1..1..1..1..1..1
%e ..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..0..1..1
%e ..0..1..1..1..1..1....1..0..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1
%e ..1..1..1..1..1..0....1..1..1..1..1..0....1..0..1..1..1..1....1..0..1..1..1..1
%e ..1..1..0..1..1..1....0..1..1..1..0..1....1..1..1..1..1..0....1..1..1..1..0..1
%Y Cf. A256810
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 10 2015