|
%I #4 Feb 04 2014 05:48:53
%S 777,4365,25705,165317,1096689,7519165,52597313,374547449,2703084433,
%T 19737083525,145502365817,1081741294293,8100825186441,61057811296633,
%U 462839372387297,3526509645691173,26993284905141665,207478208405676469
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock equal
%C Column 3 of A237167
%H R. H. Hardin, <a href="/A237162/b237162.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 22*a(n-1) -99*a(n-2) -960*a(n-3) +8098*a(n-4) +12032*a(n-5) -218957*a(n-6) +19862*a(n-7) +3162005*a(n-8) -1747808*a(n-9) -28052026*a(n-10) +17465512*a(n-11) +161713315*a(n-12) -88019074*a(n-13) -621523196*a(n-14) +264308654*a(n-15) +1611400334*a(n-16) -500177858*a(n-17) -2823868897*a(n-18) +607262224*a(n-19) +3318019822*a(n-20) -470911456*a(n-21) -2561669588*a(n-22) +227604704*a(n-23) +1252643832*a(n-24) -64982496*a(n-25) -364185088*a(n-26) +9789184*a(n-27) +55881600*a(n-28) -579072*a(n-29) -3354624*a(n-30)
%e Some solutions for n=4
%e ..1..0..1..0....1..0..1..0....0..1..0..1....1..0..1..1....1..1..2..2
%e ..0..1..2..1....0..0..0..2....1..2..1..0....2..1..2..2....1..1..0..0
%e ..0..1..0..1....2..1..0..1....0..1..0..1....1..0..1..1....1..1..0..0
%e ..2..1..2..1....0..0..0..0....1..0..1..0....2..1..0..2....1..1..0..0
%e ..0..1..0..1....1..0..1..2....0..1..0..1....0..1..2..0....0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2014
| 