A298631 - OEIS

%I #4 Jan 23 2018 12:40:51

%S 1,17,5,15,25,45,81,186,382,832,1778,3817,8229,17739,38337,82675,

%T 178602,385421,832808,1798457,3885412,8392104,18129623,39164407,

%U 84609478,182786178,394886144,853110433,1843063214,3981796704,8602359870

%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298635.

%H R. H. Hardin, <a href="/A298631/b298631.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -5*a(n-3) +5*a(n-4) -5*a(n-5) -6*a(n-6) +6*a(n-7) +20*a(n-9) -4*a(n-10) -2*a(n-11) -16*a(n-12) -9*a(n-13) +13*a(n-14) +8*a(n-15) +3*a(n-16) -18*a(n-17) -4*a(n-18) +9*a(n-19) -2*a(n-20) +8*a(n-21) -a(n-22) -2*a(n-23) for n>29

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298635.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 23 2018