Number of (n+1)X4 binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants.
Empirical: a(n)=8*a(n-2)+4*a(n-3)+10*a(n-4)-3*a(n-5)-73*a(n-6)-106*a(n-7)-22*a(n-8)+143*a(n-9)+154*a(n-10)+94*a(n-11)-115*a(n-12)-74*a(n-13)+33*a(n-14)+120*a(n-15)-30*a(n-16)-30*a(n-17)-8*a(n-18)+22*a(n-19)-12*a(n-20)-2*a(n-21)-4*a(n-22)+4*a(n-23) for n>29