A208099 - OEIS

A208099

Number of 4 X n 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 #10 May 18 2020 18:58:50

%S 1,15,500,192328,235862938,677352910013,3773408294000427,

%T 36179066767453804155,549736601190850705047301,

%U 12463226118187748082979153202,402612019211536786633308878052340,17870804510325656079748707416649732732,1058340866272922899343613575761029687845720

%N Number of 4 X n 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="/A208099/b208099.txt">Table of n, a(n) for n = 0..100</a>

%e Some solutions for n=4:

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

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

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

%e ..0..1..3..1....0..1..0..2....0..1..0..1....4..1..0..1....0..1..0..1

%Y Row 4 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 18 2020