A232078 Number of (2+1) X (n+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.

11, 87, 520, 3681, 26587, 189404, 1348429, 9607995, 68462448, 487805049, 3475683907, 24764857724, 176453944877, 1257264924795, 8958230513184, 63828946109201, 454792310901883, 3240474086774308, 23088939844648997

Offset: 1

Author

R. H. Hardin, Nov 17 2013

Keywords

• nonn

Examples

			Some solutions for n=6:
..0..0..1..0..0..0..0....0..0..0..1..1..1..1....0..0..0..0..0..0..0
..0..1..1..0..1..1..1....0..0..1..1..1..0..1....0..1..1..1..0..1..0
..1..0..0..1..1..1..1....0..1..0..1..0..1..0....1..0..0..0..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Row 2 of A232076.

Formula

Empirical: a(n) = 5*a(n-1) + 11*a(n-2) + 23*a(n-3) + 45*a(n-4) + 10*a(n-5) + a(n-6) - 3*a(n-7) - 2*a(n-8).

Empirical g.f.: x*(11 + 32*x - 36*x^2 - 129*x^3 - 34*x^4 - 7*x^5 + 8*x^6 + 6*x^7) / (1 - 5*x - 11*x^2 - 23*x^3 - 45*x^4 - 10*x^5 - x^6 + 3*x^7 + 2*x^8). - Colin Barker, Oct 03 2018