%I
%S 1,2,15,364,29084,4851360,1396243937,621070325112,397357555166874,
%T 347527814415145984,399998919849572992699,588252794234398220649896,
%U 1079540725180986409339750810,2424777953471684438806091877856,6559018912065982947335186853751568
%N Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the odd squares of an n X 6 array with new integer colors introduced in row major order.
%H Andrew Howroyd, <a href="/A215743/b215743.txt">Table of n, a(n) for n = 0..50</a>
%e Some solutions for n=3:
%e ..x..0..x..1..x..2....x..0..x..1..x..2....x..0..x..1..x..2....x..0..x..1..x..0
%e ..3..x..4..x..0..x....3..x..2..x..3..x....2..x..3..x..4..x....2..x..3..x..4..x
%e ..x..2..x..5..x..4....x..4..x..0..x..1....x..1..x..2..x..1....x..5..x..2..x..1
%Y Column 6 of A215745 and column 6 of A215847.
%K nonn
%O 0,2
%A _R. H. Hardin_, Aug 22 2012
%E a(0)=1 prepended and terms a(9) and beyond from _Andrew Howroyd_, Jun 25 2017
