A208872 - OEIS

%I #5 Mar 31 2012 12:37:25

%S 1,2,2,5,12,5,15,136,143,15,51,1798,6520,1979,51,187,24472,307165,

%T 324682,28246,187,715,334618,14493405,52947540,16205218,405481,715,

%U 2795,4578580,683903931,8624977114,9130195864,808928836,5826959,2795,11051,62655190

%N T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Table starts

%C ....1........2.............5................15.....................51

%C ....2.......12...........136..............1798..................24472

%C ....5......143..........6520............307165...............14493405

%C ...15.....1979........324682..........52947540.............8624977114

%C ...51....28246......16205218........9130195864..........5134914951163

%C ..187...405481.....808928836.....1574432811027.......3057224057476808

%C ..715..5826959...40380275500...271499374919883....1820216057105650386

%C .2795.83752328.2015711853262.46818078167209471.1083724145919960847502

%H R. H. Hardin, <a href="/A208872/b208872.txt">Table of n, a(n) for n = 1..160</a>

%e Some solutions for n=4 k=3

%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..1..0

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

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

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

%Y Column 1 and row 1 are A007581(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 02 2012