A231283 - OEIS

%I #4 Nov 06 2013 18:30:05

%S 0,118,9488,1083188,113949472,12128733980,1290580702666,

%T 137311555002556,14609836865684100,1554468539641443950,

%U 165393585969241669954,17597679435722205439054,1872372003925178411969314

%N Number of nX6 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

%C Column 6 of A231285

%H R. H. Hardin, <a href="/A231283/b231283.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 75*a(n-1) +3389*a(n-2) +9662*a(n-3) -1375599*a(n-4) -21682402*a(n-5) +25867838*a(n-6) +3737876344*a(n-7) +32416054755*a(n-8) +21244369113*a(n-9) -789635494249*a(n-10) +957258990950*a(n-11) +5788731191957*a(n-12) -21718363476496*a(n-13) +20908586259748*a(n-14) +47060580750560*a(n-15) -208417427145507*a(n-16) +400066994624685*a(n-17) -448880901658597*a(n-18) +294143323195690*a(n-19) -110499566381917*a(n-20) +25600447941622*a(n-21) -4881893783730*a(n-22) +891041545640*a(n-23) -93567465215*a(n-24) +1082360143*a(n-25) +247912817*a(n-26) +7307698*a(n-27) -523657*a(n-28) -5156*a(n-29) -16*a(n-30) for n>31

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 06 2013