|
%I #5 Mar 31 2012 12:37:31
%S 475,12377,332891,8989701,240224641,6356262535,166752843125,
%T 4344981788295,112605356395583,2905874746795745,74734699001382433,
%U 1916868366238281647,49059100825999735487,1253394404988516740191
%N Number of (n+1)X5 0..2 arrays containing all values 0..2 with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order
%C Column 4 of A210052
%H R. H. Hardin, <a href="/A210048/b210048.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 58*a(n-1) -992*a(n-2) +1114*a(n-3) +104383*a(n-4) -609244*a(n-5) -3158300*a(n-6) +31872941*a(n-7) +14255768*a(n-8) -695247797*a(n-9) +851352494*a(n-10) +7722215712*a(n-11) -17461446135*a(n-12) -44607174085*a(n-13) +153341052250*a(n-14) +107386696583*a(n-15) -724717887559*a(n-16) +133505885446*a(n-17) +1890011566228*a(n-18) -1409205824752*a(n-19) -2511295843328*a(n-20) +3234462976416*a(n-21) +1147782485632*a(n-22) -3211415530368*a(n-23) +620083812608*a(n-24) +1267243773440*a(n-25) -658602110976*a(n-26) -85186113536*a(n-27) +120800202752*a(n-28) -16266002432*a(n-29) -5194055680*a(n-30) +1509949440*a(n-31) -104857600*a(n-32)
%e Some solutions for n=4
%e ..0..0..0..0..1....0..1..0..1..0....0..1..2..2..2....0..1..1..2..1
%e ..0..1..0..1..0....1..0..0..0..0....0..1..1..1..1....1..1..2..1..1
%e ..0..0..0..0..1....0..0..1..0..2....0..0..0..1..2....1..2..1..2..1
%e ..1..1..0..1..0....2..0..0..0..0....1..0..1..1..1....1..2..1..2..1
%e ..2..1..0..1..1....2..2..2..2..2....1..0..1..0..0....1..1..2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 16 2012
| 