A298921 - OEIS

%I #4 Jan 29 2018 07:57:47

%S 0,32,3,7,9,12,17,41,42,67,109,172,277,461,722,1167,1889,3052,4937,

%T 8001,12922,20907,33829,54732,88557,143301,231842,375127,606969,

%U 982092,1589057,2571161,4160202,6731347,10891549,17622892,28514437,46137341

%N Number of nX5 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A298924.

%H R. H. Hardin, <a href="/A298921/b298921.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298924.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2018