A280230 - OEIS

%I #4 Dec 29 2016 11:48:13

%S 5,14,29,116,355,1102,3376,9860,29091,84644,244759,704628,2018512,

%T 5761462,16393387,46508232,131619423,371638678,1047214662,2945399940,

%U 8270156835,23184841888,64903418567,181446963548,506630797962

%N Number of nX5 0..1 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 5 of A280233.

%H R. H. Hardin, <a href="/A280230/b280230.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +6*a(n-2) -28*a(n-3) -31*a(n-4) +78*a(n-5) +114*a(n-6) -90*a(n-7) -153*a(n-8) +66*a(n-9) -29*a(n-10) -246*a(n-11) +40*a(n-12) +278*a(n-13) -56*a(n-14) -114*a(n-15) +170*a(n-16) -24*a(n-17) -116*a(n-18) +40*a(n-19) +16*a(n-20) -4*a(n-21) -a(n-22) for n>25

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280233.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2016