A251288 - OEIS

%I #4 Dec 01 2014 11:29:32

%S 125,701,3390,18924,94706,518711,2645966,14292754,73763850,394839392,

%T 2052818979,10924134430,57063130832,302529963932,1585024760524,

%U 8383254978829,44005652384769,232393583625579,1221371767402917

%N Number of (n+1)X(4+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally

%C Column 4 of A251292

%H R. H. Hardin, <a href="/A251288/b251288.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +40*a(n-2) -55*a(n-3) -533*a(n-4) +518*a(n-5) +3271*a(n-6) -2001*a(n-7) -10562*a(n-8) +2928*a(n-9) +17984*a(n-10) -637*a(n-11) -15411*a(n-12) -1198*a(n-13) +6419*a(n-14) +561*a(n-15) -1099*a(n-16) -18*a(n-17) +50*a(n-18) -2*a(n-19)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014