A210409 - OEIS

%I #5 Mar 31 2012 12:37:34

%S 9576,2574592,677993552,178971208720,47230418649056,12464482425454304,

%T 3289463792785895520,868112796901730209328,229101105240473375413568,

%U 60461401929182464236989616,15956191555192198665777462352

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

%C Column 4 of A210413

%H R. H. Hardin, <a href="/A210409/b210409.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 276*a(n-1) -844*a(n-2) -647137*a(n-3) +5856940*a(n-4) +402216721*a(n-5) -5862695617*a(n-6) -54643074114*a(n-7) +1382343039112*a(n-8) -3102790608576*a(n-9) -89911455972644*a(n-10) +660007977690996*a(n-11) +263588914646272*a(n-12) -18055429128783448*a(n-13) +51374341139205968*a(n-14) +113931146918069408*a(n-15) -752286799961769696*a(n-16) +423125539061919552*a(n-17) +3650072001026978048*a(n-18) -6040761986311450112*a(n-19) -5385080244386082816*a(n-20) +17461611564608397312*a(n-21) -2457130524259205120*a(n-22) -16604319853477298176*a(n-23) +6207057768744222720*a(n-24) +6168586199070932992*a(n-25) -2183260302370406400*a(n-26) -667625816443584512*a(n-27) +191550881093648384*a(n-28) +17950332629811200*a(n-29) -3348386568732672*a(n-30) +49529562857472*a(n-31)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2012