A262236 Number of (n+3) X (1+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits.

2, 3, 6, 12, 24, 47, 94, 187, 373, 745, 1490, 2979, 5958, 11916, 23832, 47663, 95326, 190651, 381301, 762601, 1525202, 3050403, 6100806, 12201612, 24403224, 48806447, 97612894, 195225787, 390451573, 780903145, 1561806290, 3123612579, 6247225158

Offset

1,1

Comments

Column 1 of A262240.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-5) +3*a(n-6) -2*a(n-7).

Empirical: G.f.: -x*(-2+3*x-x^2-x^5+2*x^6) / ( (x-1)*(2*x-1)*(1+x)*(x^4-x^3+x^2-x+1) ). - R. J. Mathar, Sep 16 2015

Example

Some solutions for n=5
..0..0..0..0....1..0..1..1....1..0..1..1....1..0..1..1....1..0..1..1
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....1..0..1..1
..1..0..1..1....1..0..1..1....1..0..1..1....0..0..0..0....1..0..1..1
..1..0..1..1....1..0..1..1....1..0..1..1....1..0..1..1....1..0..1..1
..0..0..0..0....0..0..0..0....1..0..1..1....1..0..1..1....0..0..0..0
..1..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..0..1..1....0..0..0..0....1..0..1..1....1..0..1..1....1..0..1..1
..1..0..1..1....0..0..0..0....1..0..1..1....0..0..0..0....0..0..0..0

Crossrefs

Cf. A262240.

Sequence in context: A124313 A049890 A351915 * A246878 A251709 A293340

Adjacent sequences: A262233 A262234 A262235 * A262237 A262238 A262239

Keyword

nonn

Author

R. H. Hardin, Sep 15 2015

Status

approved