A282881 - OEIS

%I #4 Feb 24 2017 07:45:50

%S 2,32,430,3762,34314,286920,2342046,18668994,146171090,1129426388,

%T 8631205392,65377140772,491525631332,3672205687546,27287152439396,

%U 201813637267634,1486474449573152,10909072654743782,79802389614658676

%N Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

%C Column 4 of A282885.

%H R. H. Hardin, <a href="/A282881/b282881.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +47*a(n-2) +124*a(n-3) -408*a(n-4) -3902*a(n-5) -15430*a(n-6) -42962*a(n-7) -94378*a(n-8) -169172*a(n-9) -254731*a(n-10) -324792*a(n-11) -346186*a(n-12) -306142*a(n-13) -226049*a(n-14) -101410*a(n-15) -32004*a(n-16) +9038*a(n-17) +56744*a(n-18) +18514*a(n-19) -78727*a(n-20) +278126*a(n-21) -491637*a(n-22) +664706*a(n-23) -600043*a(n-24) +363134*a(n-25) -86242*a(n-26) -73590*a(n-27) +88574*a(n-28) -49032*a(n-29) +20328*a(n-30) -6196*a(n-31) -2591*a(n-32) +4334*a(n-33) -1998*a(n-34) +278*a(n-35) +31*a(n-36) -40*a(n-37) +63*a(n-38) -34*a(n-39) +2*a(n-40) +4*a(n-41) -a(n-42)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282885.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2017