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%I #5 Mar 31 2012 12:37:33
%S 5167,668468,85979301,11066406572,1424263182001,183306323524536,
%T 23591974220786341,3036345393226822100,390785152751306461721,
%U 50295014602827775685072,6473092633661117168123757
%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order
%C Column 4 of A210404
%H R. H. Hardin, <a href="/A210400/b210400.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 222*a(n-1) -14466*a(n-2) +294924*a(n-3) +4656995*a(n-4) -258980402*a(n-5) +1519478244*a(n-6) +65765309856*a(n-7) -899946571108*a(n-8) -6066410464024*a(n-9) +162105406266400*a(n-10) -88886529769536*a(n-11) -13947758522827904*a(n-12) +56368494845199616*a(n-13) +595808254992314112*a(n-14) -4168954910728206336*a(n-15) -10590192881040593920*a(n-16) +140772489264317126656*a(n-17) -38165648086702518272*a(n-18) -2466112169355411496960*a(n-19) +4370610701672862203904*a(n-20) +22131193152696389959680*a(n-21) -66520641034825424371712*a(n-22) -84130431929983157141504*a(n-23) +444218891805352251097088*a(n-24) -24524753263238930497536*a(n-25) -1357521916200660102021120*a(n-26) +906383329842391263739904*a(n-27) +1679955754896158917394432*a(n-28) -1768503113779591826636800*a(n-29) -469035266983925668380672*a(n-30) +970910637009369175162880*a(n-31) -255356668034757049712640*a(n-32)
%e Some solutions for n=4
%e ..0..0..0..0..1....0..0..0..0..0....0..1..0..0..0....0..1..0..0..0
%e ..2..1..3..1..2....0..0..0..0..0....2..0..2..3..1....0..2..0..0..0
%e ..1..3..2..2..0....1..2..1..3..1....2..1..2..0..3....3..2..3..1..2
%e ..2..2..1..3..0....1..3..3..0..1....0..0..0..3..2....1..1..2..1..3
%e ..1..3..2..2..2....0..0..1..0..2....0..0..0..2..0....0..2..0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 21 2012
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