%I #4 Jun 29 2015 15:25:00

%S 689,9227,126045,1769635,25009044,355119489,5050441910,71892362811,

%T 1023722858631,14580213573278,207670950496698,2958047253018009,

%U 42134766083598488,600177800077956164,8549101075136347880

%N Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0101 0111

%C Column 5 of A259515

%H R. H. Hardin, <a href="/A259512/b259512.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +150*a(n-2) -1839*a(n-3) -7337*a(n-4) +97344*a(n-5) +144584*a(n-6) -2601960*a(n-7) -588305*a(n-8) +39116878*a(n-9) -20332011*a(n-10) -347204803*a(n-11) +349046520*a(n-12) +1868665667*a(n-13) -2556742075*a(n-14) -6133493750*a(n-15) +10484944500*a(n-16) +11994133580*a(n-17) -25911862138*a(n-18) -12782872195*a(n-19) +39615238737*a(n-20) +4674887706*a(n-21) -37646826390*a(n-22) +4380964181*a(n-23) +21928503270*a(n-24) -6080186298*a(n-25) -7490471276*a(n-26) +3060886380*a(n-27) +1334826496*a(n-28) -755438296*a(n-29) -80164896*a(n-30) +84756256*a(n-31) -4591488*a(n-32) -2857344*a(n-33) +222976*a(n-34) +31232*a(n-35) -1024*a(n-36)

%e Some solutions for n=3

%e ..0..0..0..1..0..1....1..0..1..0..0..0....0..1..1..1..0..1....1..0..0..1..0..0

%e ..1..0..1..0..0..0....1..1..0..0..0..0....0..0..1..0..0..0....0..0..1..0..1..0

%e ..0..0..0..0..0..0....1..0..0..0..0..1....0..1..0..0..0..0....0..0..0..0..0..0

%e ..0..1..0..0..1..0....0..0..0..0..0..0....0..0..1..0..0..0....1..0..0..0..0..1

%Y Cf. A259515

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 29 2015