A262918 Number of (4+1) X (n+1) 0..1 arrays with each row divisible by 3 and each column divisible by 7, read as a binary number with top and left being the most significant bits.

5, 9, 53, 137, 853, 2953, 17333, 71721, 394325, 1791209, 9435253, 44924617, 230950613, 1126125513, 5713545653, 28200027881, 142082597845, 705663892009, 3542422689653, 17650591452297, 88436516562773, 441384307595273

Offset: 1

Author

R. H. Hardin, Oct 04 2015

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Row 4 of A262917.

Formula

Empirical: a(n) = 7*a(n-1) + 11*a(n-2) - 147*a(n-3) + 99*a(n-4) + 777*a(n-5) - 1019*a(n-6) - 637*a(n-7) + 910*a(n-8).

Empirical g.f.: x*(5 - 26*x - 65*x^2 + 402*x^3 + 139*x^4 - 1510*x^5 + 273*x^6 + 910*x^7) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 5*x)*(1 - 7*x^2)*(1 - 13*x^2)). - Colin Barker, Jan 01 2019