A236878 - OEIS

%I #4 Feb 01 2014 07:31:55

%S 211,669,2111,7995,29673,117703,462885,1868937,7534429,30744153,

%T 125576911,516317755,2126269431,8792513827,36414484091,151240645827,

%U 628964493529,2621050705595,10934020192599,45682050849053

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

%C Column 2 of A236884

%H R. H. Hardin, <a href="/A236878/b236878.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -28*a(n-2) -459*a(n-3) +2258*a(n-4) +4418*a(n-5) -46337*a(n-6) +15855*a(n-7) +478245*a(n-8) -699780*a(n-9) -2810786*a(n-10) +6844631*a(n-11) +9089948*a(n-12) -36536014*a(n-13) -9754145*a(n-14) +120336673*a(n-15) -40121314*a(n-16) -248844918*a(n-17) +191784528*a(n-18) +308729988*a(n-19) -375062032*a(n-20) -194512520*a(n-21) +397632272*a(n-22) +14941536*a(n-23) -230210592*a(n-24) +50723072*a(n-25) +68301056*a(n-26) -26409216*a(n-27) -8429056*a(n-28) +4614144*a(n-29) +122880*a(n-30) -184320*a(n-31)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2014