A208095 - OEIS

A208095

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, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).

%I #12 May 18 2020 03:01:31

%S 1,15,7239,34438557,677352910013,37155328943771767,

%T 4558466722941178786343,1086389216314310418981064791,

%U 455984828225593734632397603864943,313575182393219205765164919469780819082,334231574923251058616578365205688685770273545

%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, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).

%H Andrew Howroyd, <a href="/A208095/b208095.txt">Table of n, a(n) for n = 0..100</a>

%e Some solutions for n=4

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

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

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

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

%Y Column 5 of A208096.

%K nonn

%O 0,2

%A _R. H. Hardin_, Feb 23 2012

%E a(0)=1 prepended and terms a(6) and beyond from _Andrew Howroyd_, May 17 2020