A303319 - OEIS

%I #4 Apr 21 2018 12:52:01

%S 64,22,53,361,853,3453,26184,148313,618149,2955145,16591424,86249043,

%T 413146658,2059509511,10710235991,54507337628,271445240604,

%U 1367369372608,6965330062810,35263933509003,177512275506692,896493252412109

%N Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 7 of A303314.

%H R. H. Hardin, <a href="/A303319/b303319.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +37*a(n-3) +276*a(n-4) +165*a(n-5) -205*a(n-6) -2476*a(n-7) -13664*a(n-8) -7511*a(n-9) +8831*a(n-10) +40762*a(n-11) +240569*a(n-12) +158080*a(n-13) -46666*a(n-14) -199655*a(n-15) -1926230*a(n-16) -1407079*a(n-17) -591650*a(n-18) -877532*a(n-19) +6392879*a(n-20) +3257573*a(n-21) +2270954*a(n-22) +4140102*a(n-23) -11419043*a(n-24) -2545735*a(n-25) -3573112*a(n-26) -6690569*a(n-27) +10941945*a(n-28) -415300*a(n-29) +2676831*a(n-30) +6168158*a(n-31) -6922000*a(n-32) +2103696*a(n-33) -1786835*a(n-34) -1766911*a(n-35) +1639434*a(n-36) -631599*a(n-37) +372470*a(n-38) +231484*a(n-39) -83779*a(n-40) +28834*a(n-41) -24621*a(n-42) -15294*a(n-43) -790*a(n-44) -1320*a(n-45) -200*a(n-46) for n>51

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018