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%I #4 Feb 15 2015 09:34:27
%S 302,1310,6271,29731,143993,706102,3459923,16957488,83205092,
%T 408315639,2003566051,9831961991,48249518620,236778459253,
%U 1161959879468,5702194584692,27982924519531,137323198309819,673899011155549
%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1
%C Column 3 of A255149
%H R. H. Hardin, <a href="/A255144/b255144.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +41*a(n-3) -48*a(n-4) -135*a(n-5) -522*a(n-6) -219*a(n-7) +1891*a(n-8) +4924*a(n-9) +4392*a(n-10) -9079*a(n-11) -29282*a(n-12) -30044*a(n-13) +21997*a(n-14) +94358*a(n-15) +115236*a(n-16) -5139*a(n-17) -175638*a(n-18) -251694*a(n-19) -98634*a(n-20) +162269*a(n-21) +320330*a(n-22) +226426*a(n-23) -21417*a(n-24) -213676*a(n-25) -227052*a(n-26) -84522*a(n-27) +50380*a(n-28) +109778*a(n-29) +67360*a(n-30) +15470*a(n-31) -23714*a(n-32) -20239*a(n-33) -10944*a(n-34) +866*a(n-35) +2287*a(n-36) +2134*a(n-37) +245*a(n-38) +67*a(n-39) -166*a(n-40) -6*a(n-41) -12*a(n-42)
%e Some solutions for n=4
%e ..0..1..1..0..1....0..1..1..1..0....0..1..1..1..1....1..0..1..1..1
%e ..1..1..0..1..1....1..1..0..1..1....1..0..1..1..1....1..1..1..1..0
%e ..1..1..1..1..1....1..0..1..1..1....1..1..1..0..1....0..1..1..0..1
%e ..1..0..1..1..0....1..1..1..1..1....0..1..1..1..1....1..1..1..1..1
%e ..1..1..1..1..1....1..1..1..0..1....1..1..0..1..1....1..0..1..1..0
%e ..1..1..1..0..1....1..1..1..1..0....1..1..1..1..0....1..1..1..0..1
%Y Cf. A255149
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2015