A219413 - OEIS

%I #4 Nov 19 2012 15:29:09

%S 1,65,1180,14737,193116,2633596,35794147,484744488,6565497170,

%T 88948580449,1205066512034,16325845207244,221177055650826,

%U 2996434981248536,40594730646344051,549964241638455480

%N Unmatched value maps: number of 4Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 4Xn array

%C Row 4 of A219410

%H R. H. Hardin, <a href="/A219413/b219413.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -65*a(n-2) +488*a(n-3) -1151*a(n-4) +5482*a(n-5) -7699*a(n-6) +23952*a(n-7) -11275*a(n-8) +4326*a(n-9) +78090*a(n-10) -207624*a(n-11) -138747*a(n-12) +498504*a(n-13) +170692*a(n-14) -650696*a(n-15) -185632*a(n-16) +542208*a(n-17) +117248*a(n-18) -278528*a(n-19) -32768*a(n-20) +65536*a(n-21)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 19 2012