login
Unchanging value maps: number of n X 5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X 5 array.
1

%I #7 Jun 06 2014 17:20:37

%S 12,160,2121,28154,372560,4934366,65352789,865523957,11462977378,

%T 151815415029,2010639231109,26628853182336,352671832205165,

%U 4670776468884680,61859640739887596,819267455394261112

%N Unchanging value maps: number of n X 5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X 5 array.

%C Column 5 of A219421.

%H R. H. Hardin, <a href="/A219418/b219418.txt">Table of n, a(n) for n = 1..39</a>

%F Empirical: a(n) = 14*a(n-1) -17*a(n-2) +117*a(n-3) -355*a(n-4) +550*a(n-5) -1954*a(n-6) +1579*a(n-7) -1059*a(n-8) -1065*a(n-9) +1097*a(n-10) +8*a(n-11) -153*a(n-12) +45*a(n-13) -6*a(n-14) for n>15.

%e Some solutions for n=3:

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2012