A260540 - OEIS

%I #4 Jul 28 2015 19:25:34

%S 337,566,1411,2775,4398,10949,22212,38389,86646,186223,333028,690553,

%T 1521828,2869799,5631896,12249267,24273164,46855557,98826636,

%U 201859033,392337270,804788515,1662271148,3279380771,6610407134,13637789673

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001

%C Column 4 of A260544

%H R. H. Hardin, <a href="/A260540/b260540.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +7*a(n-3) +8*a(n-4) -6*a(n-5) -19*a(n-6) -23*a(n-7) -13*a(n-8) +32*a(n-9) +51*a(n-10) -4*a(n-11) +13*a(n-12) -6*a(n-13) -50*a(n-14) -28*a(n-15) -34*a(n-16) -20*a(n-17) +a(n-18) +8*a(n-19) +23*a(n-20) -3*a(n-21) +12*a(n-22) +10*a(n-23) -12*a(n-24) +7*a(n-25) -2*a(n-27) for n>31

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260544

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 28 2015