A202416 - OEIS

%I #5 Mar 31 2012 12:36:47

%S 265,1369,7209,37029,190951,989393,5113271,26412799,136555683,

%T 705913811,3648384659,18857860505,97476160225,503834472797,

%U 2604222474347,13460861134173,69577058003231,359632069614433,1858880460769149

%N Number of (n+2)X5 binary arrays with no more than one of any consecutive three bits set in any row or column

%C Column 3 of A202421

%H R. H. Hardin, <a href="/A202416/b202416.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-2) +62*a(n-3) +127*a(n-4) +114*a(n-5) -371*a(n-6) -1575*a(n-7) -1934*a(n-8) +734*a(n-9) +5750*a(n-10) +8836*a(n-11) +2844*a(n-12) -11127*a(n-13) -15425*a(n-14) -6985*a(n-15) +2907*a(n-16) +11546*a(n-17) +11221*a(n-18) +2349*a(n-19) -2359*a(n-20) -3216*a(n-21) -3499*a(n-22) -779*a(n-23) +258*a(n-24) +224*a(n-25) +472*a(n-26) +58*a(n-27) +39*a(n-28) -2*a(n-29) -11*a(n-30) -a(n-32)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 19 2011