A282525 - OEIS

%I #4 Feb 17 2017 10:18:01

%S 32,473,5675,86258,1207312,17100576,243903065,3461268322,49204976763,

%T 699393940820,9939398057433,141269301662515,2007801988480419,

%U 28536092260831837,405573924391030459,5764272209120162513

%N Number of nX5 0..1 arrays with no 1 equal to more than two of its king-move neighbors.

%C Column 5 of A282528.

%H R. H. Hardin, <a href="/A282525/b282525.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +11*a(n-2) +11*a(n-3) -2094*a(n-4) +5070*a(n-5) -8140*a(n-6) +28850*a(n-7) -16179*a(n-8) +37380*a(n-9) +24568*a(n-10) -348962*a(n-11) -67455*a(n-12) -1327230*a(n-13) +1682530*a(n-14) +762700*a(n-15) +3424450*a(n-16) +2318786*a(n-17) -2922547*a(n-18) -592553*a(n-19) -10324266*a(n-20) -307185*a(n-21) +3976888*a(n-22) -994291*a(n-23) -618512*a(n-24) +460813*a(n-25) -20410*a(n-26) -21671*a(n-27) +6413*a(n-28) -5444*a(n-29) +1368*a(n-30) -16*a(n-31)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282528.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2017