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%I #6 Apr 11 2022 12:17:33
%S 1,12,136,12840,373780,99827160,5116799368,2751754706832,
%T 212339816996032,194478305002268064,20707051422399128416,
%U 29191372156840204219200,4055642578974004982217280,8220961603626446873042001408
%N Number of horizontal and antidiagonal neighbor colorings of the odd squares of an n X 5 array with new integer colors introduced in row major order.
%C Column 5 of A216084.
%H R. H. Hardin, <a href="/A216081/b216081.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=4
%e ..x..0..x..1..x....x..0..x..1..x....x..0..x..1..x....x..0..x..1..x
%e ..2..x..3..x..4....2..x..3..x..4....1..x..0..x..2....1..x..2..x..1
%e ..x..5..x..2..x....x..5..x..3..x....x..2..x..3..x....x..3..x..4..x
%e ..1..x..6..x..1....6..x..5..x..1....1..x..4..x..1....4..x..5..x..0
%Y Cf. A216084.
%K nonn
%O 1,2
%A _R. H. Hardin_, Sep 01 2012