A302955 - OEIS

%I #4 Apr 16 2018 11:42:34

%S 0,34,587,6531,87901,1248691,17374552,240722070,3341034465,

%T 46388257442,643972648584,8939498283852,124098004402538,

%U 1722731575686989,23914973741837431,331987784574422416,4608656564514739063

%N Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A302953.

%H R. H. Hardin, <a href="/A302955/b302955.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +64*a(n-2) +323*a(n-3) +1423*a(n-4) +2602*a(n-5) -1745*a(n-6) -17308*a(n-7) -49332*a(n-8) -76942*a(n-9) -37653*a(n-10) +24133*a(n-11) +51188*a(n-12) +90867*a(n-13) +48713*a(n-14) -32390*a(n-15) -35672*a(n-16) -23781*a(n-17) +15831*a(n-18) +22745*a(n-19) -4476*a(n-20) -2492*a(n-21) -8*a(n-22) -1296*a(n-23) +576*a(n-24) for n>25

%e Some solutions for n=5

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

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

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

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

%Y Cf. A302953.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 16 2018