A262335 Number of (n+3)X(3+3) 0..1 arrays with each row and column divisible by 9, read as a binary number with top and left being the most significant bits.

8, 64, 512, 3375, 24389, 185193, 1481544, 11852352, 94818816, 756058031, 6038510661, 48268303721, 386146429768, 3089171438144, 24713371505152, 197696790931375, 1581533604060229, 12652105941015913, 101216847528127304

Offset

1,1

Comments

Column 3 of A262338.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -32*a(n-2) -64*a(n-3) +768*a(n-4) -2048*a(n-5) +65*a(n-6) -780*a(n-7) +2080*a(n-8) +4160*a(n-9) -49920*a(n-10) +133120*a(n-11) -64*a(n-12) +768*a(n-13) -2048*a(n-14) -4096*a(n-15) +49152*a(n-16) -131072*a(n-17)

Example

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

Crossrefs

Cf. A262338.

Sequence in context: A267730 A189155 A189337 * A221664 A228981 A222388

Adjacent sequences: A262332 A262333 A262334 * A262336 A262337 A262338

Keyword

nonn

Author

R. H. Hardin, Sep 18 2015

Status

approved