A263119 Number of (n+3) X (1+3) 0..1 arrays with each row divisible by 15 and column not divisible by 15, read as a binary number with top and left being the most significant bits.

14, 29, 59, 119, 238, 477, 955, 1911, 3822, 7645, 15291, 30583, 61166, 122333, 244667, 489335, 978670, 1957341, 3914683, 7829367, 15658734, 31317469, 62634939, 125269879, 250539758, 501079517, 1002159035, 2004318071, 4008636142

Offset: 1

Author

R. H. Hardin, Oct 10 2015

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Column 1 of A263124.

Formula

Empirical: a(n) = 2*a(n-1) + a(n-4) - 2*a(n-5) = A265381(n+2).

Empirical g.f.: x*(14 + x + x^2 + x^3 - 14*x^4) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 + x^2)). - Colin Barker, Jan 01 2019