A302519 - OEIS

%I #4 Apr 09 2018 09:12:48

%S 32,14,21,89,184,458,1784,7182,22544,67096,220654,775150,2587038,

%T 8302004,27025136,90376752,301153260,989265746,3244058002,10719499408,

%U 35505656166,117195031890,386021758650,1273341893876,4206241844100

%N Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 6 of A302515.

%H R. H. Hardin, <a href="/A302519/b302519.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +3*a(n-3) +46*a(n-4) +32*a(n-5) -18*a(n-6) -33*a(n-7) -230*a(n-8) -144*a(n-9) +146*a(n-10) +151*a(n-11) +360*a(n-12) +319*a(n-13) -195*a(n-14) -371*a(n-15) -150*a(n-16) -170*a(n-17) +50*a(n-18) +96*a(n-19) -45*a(n-20) +87*a(n-21) -3*a(n-22) -9*a(n-23) for n>29

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018