A262416 Number of (n+1) X (4+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.

0, 114, 1260, 18228, 200880, 2353338, 25901100, 289462380, 3184570800, 35172555474, 386913644460, 4260476333988, 46865727906480, 515660423584938, 5672279881478700, 62399341247906460, 686393226739623600

Offset

1,2

Links

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

Formula

Empirical: a(n) = 11*a(n-1) + 48*a(n-2) - 528*a(n-3) - 579*a(n-4) + 6369*a(n-5) + 1612*a(n-6) - 17732*a(n-7).

Empirical g.f.: 6*x^2*(19 + x - 184*x^2 + 14*x^3) / ((1 - 2*x)*(1 + 2*x)*(1 - 11*x)*(1 - 13*x^2)*(1 - 31*x^2)). - Colin Barker, Dec 31 2018

Example

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

Crossrefs

Column 4 of A262420.

Sequence in context: A239570 A002952 A296403 * A108344 A200551 A230464

Adjacent sequences: A262413 A262414 A262415 * A262417 A262418 A262419

Keyword

nonn

Author

R. H. Hardin, Sep 22 2015

Status

approved