login
Number of (n+1)X5 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:11

%S 5257,520097,57656713,6554439373,748963157161,85678539791333,

%T 9803619036105721,1121819841273065957,128370307988576256937,

%U 14689502396007272718677,1680930696757228231925017

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 4 of A206383

%H R. H. Hardin, <a href="/A206379/b206379.txt">Table of n, a(n) for n = 1..107</a>

%F Empirical: a(n) = 160*a(n-1) -5537*a(n-2) +25556*a(n-3) +1495902*a(n-4) -23370552*a(n-5) +81849864*a(n-6) +544237824*a(n-7) -5119960320*a(n-8) +15199301376*a(n-9) -19180578816*a(n-10) +8497004544*a(n-11)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 07 2012