A259948 - OEIS

%I #4 Jul 10 2015 07:06:52

%S 365,1507,8699,35765,141619,642779,2922457,12595119,54554391,

%T 241207419,1062079283,4640861117,20328211369,89287996191,391693962409,

%U 1716670831027,7528074602903,33022954863143,144821506333677

%N Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

%C Column 4 of A259952

%H R. H. Hardin, <a href="/A259948/b259948.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +11*a(n-3) +70*a(n-4) -95*a(n-5) -212*a(n-6) +99*a(n-7) -450*a(n-8) +207*a(n-9) +1325*a(n-10) -637*a(n-11) +440*a(n-12) +561*a(n-13) -1601*a(n-14) +264*a(n-15) +325*a(n-16) -48*a(n-17) +103*a(n-18) -226*a(n-19) +17*a(n-20) -46*a(n-21) +20*a(n-22) -8*a(n-23) +2*a(n-24) for n>27

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A259952

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015