A275354 - OEIS

%I #4 Jul 24 2016 10:06:32

%S 14,216,1024,6156,38256,239112,1530060,9861340,63978000,416816872,

%T 2721060036,17793765428,116463216432,762750251516,4997375137216,

%U 32749260871852,214647538572140,1406987385055340,9223158260357292

%N Number of 4Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

%C Row 4 of A275352.

%H R. H. Hardin, <a href="/A275354/b275354.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -7*a(n-2) -21*a(n-3) +109*a(n-4) -222*a(n-5) -1637*a(n-6) -1753*a(n-7) +4997*a(n-8) -35222*a(n-9) +99987*a(n-10) -192426*a(n-11) +427454*a(n-12) -488826*a(n-13) +530306*a(n-14) -497569*a(n-15) +15083932*a(n-16) +7508480*a(n-17) -6448250*a(n-18) -31426160*a(n-19) -127501000*a(n-20) -100384864*a(n-21) -411105760*a(n-22) +98743024*a(n-23) +328054264*a(n-24) +1816349760*a(n-25) -2229093184*a(n-26) -48225424*a(n-27) -546260224*a(n-28) +3769886144*a(n-29) -3333766656*a(n-30) +9405700992*a(n-31) +655658496*a(n-32) +3745889280*a(n-33) -7061796864*a(n-34) +1526999040*a(n-35) -1038127104*a(n-36) +6676660224*a(n-37) -4144545792*a(n-38) -3583180800*a(n-39) +6019743744*a(n-40) -10319560704*a(n-41) for n>43

%e Some solutions for n=4

%e ..0..1..0..1. .0..1..2..0. .0..1..2..1. .0..1..0..2. .0..1..2..2

%e ..1..2..1..0. .1..2..1..0. .2..2..1..2. .1..2..2..0. .1..2..2..2

%e ..2..1..0..1. .0..1..2..1. .2..1..0..1. .0..2..0..1. .0..1..0..0

%e ..1..2..1..2. .0..0..1..2. .1..0..0..0. .1..0..1..1. .0..0..1..0

%Y Cf. A275352.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 24 2016