|
%I #4 Feb 08 2014 06:19:51
%S 331,2529,19175,160005,1361797,11938523,105900839,950031897,
%T 8571447311,77703482543,706310544831,6433899213915,58681892142847,
%U 535742328796239,4894047982214525,44727597830666259,408889525691631919
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock equal
%C Column 2 of A237481
%H R. H. Hardin, <a href="/A237475/b237475.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) -4*a(n-2) -1270*a(n-3) +4614*a(n-4) +32689*a(n-5) -189159*a(n-6) -315240*a(n-7) +3345462*a(n-8) -441205*a(n-9) -31268255*a(n-10) +33370256*a(n-11) +163213626*a(n-12) -289548851*a(n-13) -461018671*a(n-14) +1232093408*a(n-15) +554566403*a(n-16) -2950288660*a(n-17) +316531223*a(n-18) +4092259150*a(n-19) -1771232392*a(n-20) -3233425862*a(n-21) +2126933890*a(n-22) +1373888416*a(n-23) -1177913072*a(n-24) -282612928*a(n-25) +315961632*a(n-26) +21654656*a(n-27) -36843008*a(n-28) -182272*a(n-29) +1425408*a(n-30)
%e Some solutions for n=4
%e ..0..2..0....0..1..1....0..2..0....1..1..1....1..2..1....0..0..0....1..0..2
%e ..2..1..2....2..1..2....1..0..1....0..2..1....1..1..2....1..0..1....2..1..1
%e ..2..1..2....1..1..1....2..0..2....1..2..1....2..1..2....0..0..1....2..0..2
%e ..1..0..1....1..2..1....2..0..2....1..1..2....0..1..2....1..0..0....1..2..1
%e ..1..2..1....0..2..1....0..1..0....1..2..0....1..2..0....1..0..1....1..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2014
| 