A219412 - OEIS

%I #6 Mar 20 2022 23:20:46

%S 1,21,181,1199,8173,57097,398375,2773933,19314785,134507787,936720513,

%T 6523315045,45428247915,316361693953,2203138855813,15342630706087,

%U 106845881585421,744073337324881,5181717103636911,36085410931557557

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

%C Row 3 of A219410.

%H R. H. Hardin, <a href="/A219412/b219412.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -14*a(n-2) +52*a(n-3) -48*a(n-4) +110*a(n-5) -51*a(n-6) +60*a(n-7) +52*a(n-8) -120*a(n-9) -20*a(n-10) +32*a(n-11).

%e Some solutions for n=3

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

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

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

%Y Cf. A219410.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 19 2012