A302318 - OEIS

%I #4 Apr 05 2018 09:50:00

%S 8,52,177,953,4525,19734,96956,458537,2098489,10026756,47317385,

%T 220419651,1043133155,4916777772,23056069587,108747082222,

%U 512264149774,2408153630209,11345014429342,53426328082045,251394672995168

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302322.

%H R. H. Hardin, <a href="/A302318/b302318.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +2*a(n-2) +87*a(n-3) -302*a(n-4) -259*a(n-5) -2588*a(n-6) +7234*a(n-7) +9019*a(n-8) +32215*a(n-9) -59476*a(n-10) -94910*a(n-11) -149849*a(n-12) +16795*a(n-13) +197662*a(n-14) +186025*a(n-15) +288434*a(n-16) +53946*a(n-17) +33493*a(n-18) -321081*a(n-19) -435016*a(n-20) -421284*a(n-21) +61987*a(n-22) +535595*a(n-23) +627461*a(n-24) +128263*a(n-25) -415105*a(n-26) -560627*a(n-27) -191402*a(n-28) +237533*a(n-29) +341727*a(n-30) +141774*a(n-31) -87789*a(n-32) -144155*a(n-33) -59413*a(n-34) +20431*a(n-35) +42378*a(n-36) +15442*a(n-37) -4727*a(n-38) -7374*a(n-39) -3473*a(n-40) +1426*a(n-41) +410*a(n-42) +704*a(n-43) -322*a(n-44) +40*a(n-45) -66*a(n-46) +32*a(n-47) -4*a(n-48) for n>49

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302322.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 05 2018