A220387 - OEIS

%I #4 Dec 13 2012 10:01:29

%S 1,7,25,79,278,966,3362,11642,40375,140102,486191,1686966,5853300,

%T 20309556,70470311,244518242,848429087,2943877082,10214660764,

%U 35442822154,122979474647,426714063696,1480612045993,5137426278616

%N Majority value maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 2Xn array

%C Row 2 of A220386

%H R. H. Hardin, <a href="/A220387/b220387.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-3) +7*a(n-4) -7*a(n-6) -19*a(n-7) -21*a(n-8) -33*a(n-9) -14*a(n-10) +a(n-11) +6*a(n-12) +45*a(n-13) +27*a(n-14) +72*a(n-15) -a(n-16) +6*a(n-17) -32*a(n-18) -16*a(n-19) -4*a(n-20) +4*a(n-22)

%e Some solutions for n=3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 13 2012