|
%I #4 Jan 30 2014 05:56:27
%S 426,3188,23788,178232,1338314,10041714,75235940,563994510,4230366698,
%T 31726827262,237865973686,1783460957136,13373943276560,
%U 100288547813090,751986752725048,5638573976780912,42280856157758116,317044089247366498
%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the lower median minus the upper median of every 2X2 subblock
%C Column 2 of A236704
%H R. H. Hardin, <a href="/A236699/b236699.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 96*a(n-3) +1446*a(n-4) +5002*a(n-5) +17664*a(n-6) +35634*a(n-7) -116079*a(n-8) -592189*a(n-9) -1339728*a(n-10) -1887666*a(n-11) +2632054*a(n-12) +13237330*a(n-13) +11983924*a(n-14) -2210264*a(n-15) -30127027*a(n-16) -74045536*a(n-17) -31775396*a(n-18) +57370541*a(n-19) +107961054*a(n-20) +152751643*a(n-21) -5885835*a(n-22) -187702017*a(n-23) -88991375*a(n-24) +19869847*a(n-25) +14214180*a(n-26) +2960509*a(n-27) +3444037*a(n-28) +6873307*a(n-29) +3739807*a(n-30) +1674422*a(n-31) +1147568*a(n-32) -194342*a(n-33) -236326*a(n-34) +6568*a(n-35) +12768*a(n-36) for n>37
%e Some solutions for n=4
%e ..0..0..2....1..1..0....0..1..1....0..0..0....0..2..0....0..1..1....0..2..1
%e ..1..1..2....1..2..2....1..0..2....1..0..0....1..1..0....1..0..1....0..2..2
%e ..1..1..1....0..0..2....0..0..2....1..0..1....1..0..1....0..2..1....0..0..1
%e ..2..0..0....0..2..0....0..0..0....0..0..1....1..0..2....0..2..1....2..2..1
%e ..2..0..1....1..0..0....1..2..2....1..1..2....1..2..0....1..0..1....0..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
| 