A236713 - OEIS

%I #4 Jan 30 2014 06:28:10

%S 398,2262,12276,68906,391672,2259386,12874198,73197080,418190364,

%T 2392155730,13641003160,77798447248,444313934342,2536940776320,

%U 14475829142936,82619028156938,471664099792988,2692274158653134

%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median of every 2X2 subblock

%C Column 2 of A236719

%H R. H. Hardin, <a href="/A236713/b236713.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 75*a(n-3) +429*a(n-4) +897*a(n-5) +2057*a(n-6) -888*a(n-7) -8682*a(n-8) -14634*a(n-9) -20920*a(n-10) +12981*a(n-11) +9538*a(n-12) -11151*a(n-13) +92172*a(n-14) +24265*a(n-15) +109712*a(n-16) +362941*a(n-17) -258335*a(n-18) -1201467*a(n-19) -103220*a(n-20) +1386852*a(n-21) +424193*a(n-22) -333799*a(n-23) -68373*a(n-24) +164001*a(n-25) +390188*a(n-26) -504798*a(n-27) -533076*a(n-28) +591269*a(n-29) +238719*a(n-30) -346836*a(n-31) -97052*a(n-32) +11666*a(n-33) -23198*a(n-34) -4960*a(n-35) -260*a(n-36) for n>38

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2014