A263218 Number of (n+1)X(2+1) 0..2 arrays with each row and column divisible by 5, read as a base-3 number with top and left being the most significant digits.

2, 14, 72, 343, 1920, 11444, 68112, 405019, 2422502, 14527358, 87130296, 522558079, 3134839248, 18808467356, 112848487824, 677075548723, 4062417593558, 24374464952438, 146246626666296, 877478675492551, 5264869525163232

Offset

1,1

Comments

Column 2 of A263224.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -16*a(n-2) +32*a(n-3) +35*a(n-4) -664*a(n-5) +1328*a(n-6) -2656*a(n-7) +3121*a(n-8) +6904*a(n-9) -13808*a(n-10) +27616*a(n-11) -40643*a(n-12) -6248*a(n-13) +12496*a(n-14) -24992*a(n-15) +37488*a(n-16)

Example

Some solutions for n=4
..2..2..1....1..2..0....0..1..2....0..1..2....0..1..2....0..0..0....2..2..1
..1..0..1....2..2..1....1..2..0....1..2..0....1..0..1....1..2..0....1..0..1
..2..2..1....0..0..0....2..2..1....2..0..2....0..1..2....0..0..0....2..2..1
..1..0..1....0..1..2....1..0..1....0..0..0....1..0..1....2..2..1....2..0..2
..0..0..0....0..1..2....2..2..1....0..0..0....0..0..0....2..0..2....2..0..2

Crossrefs

Cf. A263224.

Sequence in context: A094583 A002058 A095933 * A189305 A043011 A290698

Adjacent sequences: A263215 A263216 A263217 * A263219 A263220 A263221

Keyword

nonn

Author

R. H. Hardin, Oct 12 2015

Status

approved