A218997 - OEIS

%I #7 Jul 24 2018 14:36:30

%S 4,46,328,2374,17776,131548,973492,7213582,53429692,395740366,

%T 2931304708,21712231084,160822807612,1191219388318,8823392421952,

%U 65355090312238,484086844724824,3585643697043796,26558954938197124,196722861904335358

%N Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X 3 array.

%C Column 3 of A219002.

%H R. H. Hardin, <a href="/A218997/b218997.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) + 15*a(n-2) + 66*a(n-3) + 63*a(n-4) + 72*a(n-5).

%F Empirical g.f.: 2*x*(2 + 15*x + 42*x^2 + 54*x^3 + 36*x^4) / (1 - 4*x - 15*x^2 - 66*x^3 - 63*x^4 - 72*x^5). - _Colin Barker_, Jul 24 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A219002.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2012