A240046 - OEIS

%I #4 Mar 31 2014 08:06:18

%S 2,2,2,4,4,4,6,9,10,6,8,20,26,22,8,14,33,72,93,50,14,20,76,174,346,

%T 309,119,20,30,117,597,1110,1496,1043,276,30,48,232,1187,5780,7514,

%U 8567,3597,637,48,70,398,3115,17297,55034,61858,46381,12865,1473,70,108,675,7269

%N T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4

%C Table starts

%C ..2....2......4.......6.........8..........14..........20..........30

%C ..2....4......9......20........33..........76.........117.........232

%C ..4...10.....26......72.......174.........597........1187........3115

%C ..6...22.....93.....346......1110........5780.......17297.......57800

%C ..8...50....309....1496......7514.......55034......236282.....1248277

%C .14..119...1043....8567.....61858......640643.....4593632....35084947

%C .20..276...3597...46381....515675.....8300260...104619164..1204711882

%C .30..637..12865..268672...4743056...119956268..2789729009.49892724623

%C .48.1473..45491.1556758..45158204..1944727891.80805084589

%C .70.3355.163686.9438166.453408919.34311716212

%H R. H. Hardin, <a href="/A240046/b240046.txt">Table of n, a(n) for n = 1..126</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-2) +2*a(n-3)

%F k=2: [order 38] for n>40

%F Empirical for row n:

%F n=1: a(n) = a(n-2) +2*a(n-3)

%F n=2: [order 18] for n>22

%F n=3: [order 76] for n>96

%e Some solutions for n=3 k=4

%e ..2..3..2..2....3..2..2..2....2..3..3..3....2..3..2..2....2..3..3..3

%e ..3..1..1..0....2..0..0..0....3..1..2..0....3..1..1..3....3..1..1..2

%e ..3..1..2..3....2..0..0..0....2..1..2..0....2..1..1..2....3..2..2..2

%Y Row and Column 1 are A239851

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Mar 31 2014