A302804 - OEIS

%I #4 Apr 13 2018 13:06:05

%S 8,105,934,8718,82367,773520,7267160,68346451,642498696,6040048126,

%T 56785892353,533860095036,5018978504768,47185161079295,

%U 443603218392484,4170460416343998,39207890434190925,368606418000678668

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302808.

%H R. H. Hardin, <a href="/A302804/b302804.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +a(n-2) +25*a(n-3) -853*a(n-4) -99*a(n-5) +2046*a(n-6) +16917*a(n-7) -2302*a(n-8) -31502*a(n-9) -89718*a(n-10) +14428*a(n-11) +54836*a(n-12) -37484*a(n-13) +150384*a(n-14) -43524*a(n-15) +14472*a(n-16) -33696*a(n-17) +5832*a(n-18) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302808.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 13 2018