A189613 - OEIS

%I #5 Mar 31 2012 12:36:16

%S 21,441,5238,50024,532565,6110500,69943253,783072552,8759983583,

%T 98440457351,1108879339651,12480666817260,140421583259356,

%U 1580016922218493,17782853849081975,200149452833682454

%N Number of nX5 binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally

%C Column 5 of A189617

%H R. H. Hardin, <a href="/A189613/b189613.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 16*a(n-1) -47*a(n-2) -126*a(n-3) +2471*a(n-4) -25560*a(n-5) +55367*a(n-6) -83579*a(n-7) -124019*a(n-8) +7300122*a(n-9) -7365184*a(n-10) -599459*a(n-11) -31727197*a(n-12) -754040572*a(n-13) +142951670*a(n-14) +953676928*a(n-15) +1891140440*a(n-16) +29553742000*a(n-17) +9452004592*a(n-18) -65219737520*a(n-19) -36827703408*a(n-20) -187343367808*a(n-21) -114093863744*a(n-22) +354967210752*a(n-23) +176354022912*a(n-24) +450092691456*a(n-25) +319703132160*a(n-26) -570350149632*a(n-27) -92906913792*a(n-28) +66527690752*a(n-29)

%e Some solutions for 3X5

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 24 2011