A203358 - OEIS

%I #9 Jun 04 2018 05:47:33

%S 5,61,565,5677,55517,547897,5390325,53087833,522656405,5146261573,

%T 50669762053,498898530085,4912170264077,48365462156161,

%U 476208363192837,4688768398640689,46165815830098469,454550623943557645

%N Number of n X 4 binary arrays with every 1 immediately preceded by 0 to the left or above.

%C Column 4 of A203362.

%H R. H. Hardin, <a href="/A203358/b203358.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +42*a(n-2) +54*a(n-3) +23*a(n-4) -7*a(n-5).

%F Empirical g.f.: x*(5 + 36*x + 50*x^2 + 20*x^3 - 7*x^4) / (1 - 5*x - 42*x^2 - 54*x^3 - 23*x^4 + 7*x^5). - _Colin Barker_, Jun 04 2018

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A203362.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2011