|
%I #4 Jan 22 2016 10:06:55
%S 16,256,3600,49284,646416,8248384,102657424,1251956689,15001350400,
%T 177032245504,2061337861696,23718185697424,270017722670656,
%U 3044657592269056,34033540434657856,377424464034508969
%N Number of nX2 0..3 arrays with every repeated value in every row and column greater than the previous repeated value.
%C Column 2 of A267933.
%H R. H. Hardin, <a href="/A267929/b267929.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 65*a(n-1) -1714*a(n-2) +21994*a(n-3) -104609*a(n-4) -629015*a(n-5) +9424776*a(n-6) -16529832*a(n-7) -255376098*a(n-8) +1037637378*a(n-9) +3611188980*a(n-10) -20939962212*a(n-11) -32646831786*a(n-12) +213582240666*a(n-13) +202683094344*a(n-14) -1065454174440*a(n-15) -388324470141*a(n-16) +2871948084957*a(n-17) -843801825042*a(n-18) -3200868080118*a(n-19) +3106724901291*a(n-20) -847288609443*a(n-21)
%e Some solutions for n=4
%e ..1..1....1..3....3..2....2..3....1..0....3..3....1..3....0..3....3..3....0..2
%e ..3..2....2..0....1..2....3..0....0..1....1..1....1..2....0..1....0..3....3..2
%e ..1..2....3..2....0..3....3..2....1..1....3..0....0..3....3..3....2..1....3..1
%e ..1..3....3..0....3..3....0..3....0..3....3..1....3..3....0..1....3..3....1..0
%Y Cf. A267933.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 22 2016
| 