A302428 - OEIS

%I #6 Mar 23 2023 07:51:36

%S 4,6,11,21,38,88,188,377,735,1557,3288,6781,13628,28203,58716,121753,

%T 248505,511788,1057997,2191020,4502367,9272331,19120457,39518063,

%U 81408758,167766247,345763679,713697958,1471345608,3033391563,6252203749

%N Number of 3 X n 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302427.

%H R. H. Hardin, <a href="/A302428/b302428.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

%Y Cf. A302427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018