A251206 - OEIS

%I #4 Nov 30 2014 19:44:45

%S 3728,65040,1273440,27920380,667858580,16965787428,447556857260,

%T 12076357468990,330184315214356,9097022461368016,251747619101556736,

%U 6984698931491249024,194079695149741551728,5397497919738531761494

%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock summing to a nonzero multiple of 2

%C Column 4 of A251210

%H R. H. Hardin, <a href="/A251206/b251206.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 111*a(n-1) -4967*a(n-2) +109599*a(n-3) -1025248*a(n-4) -3485048*a(n-5) +149483818*a(n-6) -634279418*a(n-7) -7493101806*a(n-8) +52970555254*a(n-9) +244632286944*a(n-10) -1824484685872*a(n-11) -7138179533341*a(n-12) +28283475913415*a(n-13) +147078256032837*a(n-14) -29006700811005*a(n-15) -947046164348600*a(n-16) -737019679290744*a(n-17) +2727653845346764*a(n-18) +3394186814611740*a(n-19) -4178378678092432*a(n-20) -6479623724195056*a(n-21) +3912298894327776*a(n-22) +6489330981253248*a(n-23) -2565340219580544*a(n-24) -3482996175613440*a(n-25) +1206172902583296*a(n-26) +890714637803520*a(n-27) -323069633740800*a(n-28) -69344103628800*a(n-29) +26486872473600*a(n-30)

%e Some solutions for n=2

%e ..2..0..2..2..2....2..0..2..0..0....0..0..2..2..0....0..0..0..2..0

%e ..0..2..2..0..2....0..2..2..0..2....0..2..2..0..0....2..0..2..0..0

%e ..2..0..2..2..2....2..2..2..2..0....0..0..0..0..2....2..2..2..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014