A262328 Number of (n+1) X (4+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits.

11, 33, 351, 2399, 26131, 252097, 2767631, 29452071, 323841891, 3532758473, 38856792031, 426525918799, 4691681673011, 51580839266577, 567386112244911, 6240392439847991, 68644221256999171, 755059969459250713

Offset

1,1

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.: x*(11 - 88*x - 540*x^2 + 2762*x^3 + 6687*x^4 - 16120*x^5 - 17732*x^6) / ((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..0..0..1..1....1..1..0..1..1....1..0..1..0..1....1..0..1..0..1
..0..0..1..1..0....1..1..0..1..1....1..1..0..1..1....1..1..0..0..0
..1..0..0..1..0....0..0..0..0..0....1..0..0..1..0....0..1..1..1..1
..1..1..0..1..1....0..0..1..1..0....1..0..1..0..1....1..0..0..1..0
..0..1..1..0..0....0..0..1..1..0....0..1..0..0..1....1..0..1..0..1

Crossrefs

Column 4 of A262332.

Sequence in context: A372069 A328606 A240414 * A136199 A226502 A041230

Adjacent sequences: A262325 A262326 A262327 * A262329 A262330 A262331

Keyword

nonn

Author

R. H. Hardin, Sep 18 2015

Status

approved