A260014 - OEIS

%I #4 Jul 13 2015 08:47:56

%S 1744,6262,56137,292422,1231648,5674360,33390411,166527544,840032861,

%T 4030790792,21851751619,107051545804,560817409385,2718986093568,

%U 14479118145265,70576014066146,372877924721591,1812602181447164

%N Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101

%C Column 7 of A260015

%H R. H. Hardin, <a href="/A260014/b260014.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-2) +517*a(n-4) -854*a(n-6) -56990*a(n-8) +56302*a(n-10) +2411527*a(n-12) -1764472*a(n-14) -48498069*a(n-16) +26093894*a(n-18) +497994124*a(n-20) -222182908*a(n-22) -2758508017*a(n-24) +1071537624*a(n-26) +8550609072*a(n-28) -2818367318*a(n-30) -15204425329*a(n-32) +4059654344*a(n-34) +15566932977*a(n-36) -3209525858*a(n-38) -8958017542*a(n-40) +1356965078*a(n-42) +2746526451*a(n-44) -272931138*a(n-46) -410312169*a(n-48) +21549240*a(n-50) +26177904*a(n-52) -653184*a(n-54) -559872*a(n-56) for n>57

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A260015

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 13 2015