A299556 - OEIS

%I #4 Feb 12 2018 20:30:05

%S 1,7,5,15,21,57,121,289,747,1901,5017,13531,36501,99555,272873,748887,

%T 2061111,5679261,15657685,43198325,119216101,329067269,908467521,

%U 2508239639,6925531875,19123005315,52804249441,145810426239,402636515557

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299561.

%H R. H. Hardin, <a href="/A299556/b299556.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -5*a(n-2) -5*a(n-3) -2*a(n-4) +20*a(n-5) +9*a(n-6) -39*a(n-7) +18*a(n-8) -10*a(n-9) -41*a(n-10) +83*a(n-11) +26*a(n-12) -44*a(n-13) +7*a(n-14) -9*a(n-15) -17*a(n-16) -3*a(n-17) +6*a(n-18) +2*a(n-19) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299561.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 12 2018