login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of n X 5 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).
2

%I #8 Jun 25 2017 17:14:36

%S 15,1657,5252041,80318704605,3662498214110836,387950830575476495043,

%T 81811898713607232898679186,30915192640251267259536636853106,

%U 19388812191991157504565482403825817325,19036318336696557481934278608884237849314405

%N Number of n X 5 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).

%H Andrew Howroyd, <a href="/A208020/b208020.txt">Table of n, a(n) for n = 1..50</a>

%e Some solutions for n=4

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

%e ..2..3..2..3..4....2..3..4..3..2....2..3..2..3..2....2..3..2..3..2

%e ..0..4..1..0..1....1..0..1..0..1....0..1..0..1..0....0..1..4..0..1

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

%Y Column 5 of A208021.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 22 2012

%E Terms a(6) and beyond from _Andrew Howroyd_, Jun 25 2017