A228663 Number of 4 X n binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.

8, 12, 140, 416, 2844, 11148, 62368, 275708, 1420076, 6614240, 32897116, 156718796, 767930400, 3694025404, 17985757548, 86879470432, 421850136604, 2041379040012, 9900460336800, 47946203889788, 232416817429420, 1125924852017632

Offset: 1

Author

R. H. Hardin, Aug 29 2013

Keywords

• nonn

Examples

			Some solutions for n=4:
..1..0..0..1....1..0..1..0....1..0..0..1....1..0..0..0....1..0..0..1
..0..0..0..0....0..0..0..0....1..0..0..1....0..0..1..0....0..0..0..0
..0..0..0..0....1..0..0..1....0..0..0..0....0..0..0..0....0..0..0..1
..0..1..0..0....1..0..0..0....0..0..0..0....1..0..0..1....1..0..0..0
		

Links

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

Crossrefs

Row 4 of A228660.

Formula

Empirical: a(n) = 2*a(n-1) + 16*a(n-2) - 7*a(n-3) - 18*a(n-4).

Empirical g.f.: 4*x*(1 + x)*(2 - 3*x) / (1 - 2*x - 16*x^2 + 7*x^3 + 18*x^4). - Colin Barker, Sep 12 2018