|
%I #8 Oct 25 2018 11:53:12
%S 6,26,98,378,1512,6018,23890,94846,376670,1495888,5940530,23591238,
%T 93686602,372052590,1477512180,5867563418,23301534646,92536114306,
%U 367483625614,1459367686212,5795507324598,23015382256774,91399732715398
%N Number of (1+1) X (n+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors.
%H R. H. Hardin, <a href="/A239179/b239179.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - 4*a(n-5) + a(n-6).
%F Empirical g.f.: 2*x*(3 + x - 3*x^3 + x^4) / (1 - 4*x + x^2 - 3*x^3 - 3*x^4 + 4*x^5 - x^6). - _Colin Barker_, Oct 25 2018
%e Some solutions for n=5:
%e ..1..1..0..1..1..1....1..1..1..0..1..1....1..1..1..1..1..0....0..0..1..2..2..1
%e ..0..0..2..2..2..2....2..2..2..2..2..2....0..0..0..2..2..1....1..2..2..0..0..0
%Y Row 1 of A239178.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 11 2014
| 