|
%I #9 Jul 19 2023 14:47:42
%S 1,116,2801,51068,993219,19675348,387217701,7615580812,149865724619,
%T 2949154384500,58032851189013,1141964471454924,22471517834568427,
%U 442193034899247988,8701443996312218197,171226425094497967436
%N Number of nX5 0..1 arrays with every one equal to some NW, E or S neighbor.
%H R. H. Hardin, <a href="/A202903/b202903.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-1) -333*a(n-2) +2560*a(n-3) -19872*a(n-4) +109088*a(n-5) -473140*a(n-6) +2025472*a(n-7) -6139616*a(n-8) +12558976*a(n-9) -24536512*a(n-10) +33814016*a(n-11) -9896448*a(n-12) -28295168*a(n-13) +78471168*a(n-14) -164626432*a(n-15) +119472128*a(n-16) +89653248*a(n-17) -176947200*a(n-18) +94371840*a(n-19) -18874368*a(n-20) for n>21.
%e Some solutions for n=4
%e ..1..1..0..1..0....0..1..1..1..0....0..1..1..0..0....0..1..1..1..0
%e ..0..1..0..1..1....0..1..1..1..1....1..1..1..1..1....0..0..1..1..0
%e ..1..1..1..0..1....1..1..0..0..1....1..1..1..0..1....1..0..1..1..0
%e ..1..1..0..1..0....0..1..1..0..0....0..1..0..0..0....1..1..1..1..1
%Y Column 5 of A202906.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 25 2011
| 