A299460 - OEIS

%I #4 Feb 10 2018 10:43:11

%S 1,18,57,226,861,3432,13268,51790,202533,791520,3091948,12082943,

%T 47217580,184509929,721007054,2817499893,11009995373,43023947508,

%U 168125545744,656987671438,2567324064308,10032384770569,39203756299445

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A299465.

%H R. H. Hardin, <a href="/A299460/b299460.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -24*a(n-4) -10*a(n-5) +39*a(n-6) +23*a(n-7) +35*a(n-8) -161*a(n-9) -15*a(n-10) +115*a(n-11) +360*a(n-12) -23*a(n-13) -236*a(n-14) -149*a(n-15) +54*a(n-16) +33*a(n-17) -36*a(n-18) -6*a(n-19) +4*a(n-20) for n>21

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A299465.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 10 2018