A229399 Number of nX5 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0

16, 89, 536, 3357, 21464, 138645, 899860, 5852687, 38099072, 248105251, 1615963560, 10525963187, 68565944112, 446645329321, 2909516286464, 18953111619005, 123464205731360, 804270242627253, 5239177554585924

Offset

1,1

Comments

Column 5 of A229402

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -120*a(n-2) +505*a(n-3) -1511*a(n-4) +3524*a(n-5) -6668*a(n-6) +10300*a(n-7) -12840*a(n-8) +12612*a(n-9) -9484*a(n-10) +5308*a(n-11) -2151*a(n-12) +615*a(n-13) -120*a(n-14) +15*a(n-15) -a(n-16)

Example

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

Crossrefs

Sequence in context: A208640 A301888 A302084 * A269078 A240262 A264531

Adjacent sequences: A229396 A229397 A229398 * A229400 A229401 A229402

Keyword

nonn

Author

R. H. Hardin Sep 22 2013

Status

approved