A297946 - OEIS

%I #4 Jan 09 2018 07:33:12

%S 1,18,56,219,796,3079,11614,44076,167210,635033,2409994,9147953,

%T 34722997,131802284,500289672,1898992405,7208159665,27360619128,

%U 103854959332,394210908018,1496339057640,5679778471327,21559206754217,81834071700364

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.

%C Column 3 of A297951.

%H R. H. Hardin, <a href="/A297946/b297946.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-3) -2*a(n-4) -12*a(n-5) +24*a(n-6) +3*a(n-7) -4*a(n-8) -80*a(n-9) -67*a(n-10) +37*a(n-11) +140*a(n-12) +100*a(n-13) -32*a(n-14) -67*a(n-15) -12*a(n-16) +24*a(n-17) +2*a(n-18) -12*a(n-19) -4*a(n-20) for n>21

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297951.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 09 2018