A302151 - OEIS

%I #4 Apr 02 2018 14:29:02

%S 4,1,4,5,11,34,88,271,798,2368,7071,21110,63163,188980,565622,1693239,

%T 5069374,15178832,45451143,136102762,407567006,1220499079,3654940301,

%U 10945255479,32777313021,98157159720,293948595170,880280943171

%N Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302150.

%H R. H. Hardin, <a href="/A302151/b302151.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +6*a(n-3) -10*a(n-4) +11*a(n-5) -24*a(n-6) +11*a(n-7) -45*a(n-8) +22*a(n-9) -38*a(n-10) +39*a(n-11) -21*a(n-12) +68*a(n-13) +28*a(n-14) +73*a(n-15) -25*a(n-16) -16*a(n-17) -37*a(n-18) -11*a(n-19) -11*a(n-20) -16*a(n-21) -7*a(n-22) +3*a(n-24) +a(n-25) for n>27

%e Some solutions for n=5

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

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

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

%Y Cf. A302150.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 02 2018