A210161 - OEIS

%I #5 Mar 31 2012 12:37:32

%S 27720,17864271,11572169594,7497695247894,4857832789667601,

%T 3147440073860364317,2039258946769923053510,1321256944854221652586980,

%U 856056028090645842341607753,554647546859512237920284437315

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

%C Column 4 of A210165

%H R. H. Hardin, <a href="/A210161/b210161.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 651*a(n-1) +2491*a(n-2) -3033274*a(n-3) +75213828*a(n-4) +2871779009*a(n-5) -168547329017*a(n-6) +3025868330721*a(n-7) -14913244152146*a(n-8) -227860409342090*a(n-9) +3284704577622354*a(n-10) -4647468768394855*a(n-11) -151912308978989829*a(n-12) +746051218249104195*a(n-13) +2759862594209092375*a(n-14) -24875375814765882871*a(n-15) -12826708391148092367*a(n-16) +412811120432989292070*a(n-17) -271333439668914274397*a(n-18) -3949195606845988432506*a(n-19) +4878572324314521633479*a(n-20) +22621015632021698182303*a(n-21) -35706585467435371532954*a(n-22) -76058853813329983983298*a(n-23) +141387729457080507256936*a(n-24) +137247708151497848656089*a(n-25) -312567964628714713985554*a(n-26) -99662573283231077847331*a(n-27) +367361272953844857693772*a(n-28) -21661696257415105631489*a(n-29) -209997903963825729024970*a(n-30) +56676111775642707907746*a(n-31) +53600108892623612777764*a(n-32) -22156986755762524106826*a(n-33) -5080148629481596023904*a(n-34) +3198197489711999573012*a(n-35) +14089783129953149268*a(n-36) -171981655847047928312*a(n-37) +15964369340316597080*a(n-38) +1991492927343812928*a(n-39) -247274191930612320*a(n-40)

%e Some solutions for n=4

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

%e ..0..1..0..2..2....1..2..3..2..2....0..2..2..1..2....0..2..0..1..0

%e ..2..2..0..2..3....0..2..1..1..1....0..0..1..0..2....3..3..2..0..2

%e ..3..1..1..2..1....2..1..3..2..1....2..0..1..3..2....2..1..1..2..2

%e ..1..2..1..3..2....3..1..3..1..0....0..0..0..0..2....0..1..3..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2012