A262423 Number of (4+1)X(n+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.

21, 48, 1701, 18228, 428301, 7577424, 163388421, 3287265300, 69481709901, 1443547193328, 30363542104581, 635919555126708, 13359727300650381, 280364385485387664, 5888252348126720901, 123632237885054793300

Offset

1,1

Comments

Row 4 of A262420.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) +189*a(n-2) -3969*a(n-3) -10719*a(n-4) +225099*a(n-5) +250803*a(n-6) -5266863*a(n-7) -2527200*a(n-8) +53071200*a(n-9) +9062928*a(n-10) -190321488*a(n-11)

Example

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

Crossrefs

Cf. A262420.

Sequence in context: A146705 A146713 A140681 * A020178 A347372 A141556

Adjacent sequences: A262420 A262421 A262422 * A262424 A262425 A262426

Keyword

nonn

Author

R. H. Hardin, Sep 22 2015

Status

approved