A261112 - OEIS

%I #4 Aug 08 2015 14:07:40

%S 547,1546,7284,27030,121313,449132,2037285,7510472,33972401,125487988,

%T 568045019,2096976610,9490614285,35040037216,158593916209,

%U 585528496338,2650104686942,9784190038600,44283559200132,163495032625670

%N Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101

%C Column 7 of A261113

%H R. H. Hardin, <a href="/A261112/b261112.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-2) +117*a(n-4) +232*a(n-6) -453*a(n-8) -2222*a(n-10) +4157*a(n-12) -4373*a(n-14) +31514*a(n-16) -108786*a(n-18) +199500*a(n-20) -228491*a(n-22) +167917*a(n-24) -76526*a(n-26) +21086*a(n-28) -3000*a(n-30) +634*a(n-32) +1184*a(n-34) -1009*a(n-36) -616*a(n-38) +123*a(n-40) +125*a(n-42) +43*a(n-44) +9*a(n-46) +a(n-48) for n>49

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261113

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 08 2015