A205166 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having unequal diagonal elements or unequal antidiagonal elements, and new values 0..3 introduced in row major order

33831, 26702419, 21125224557, 16713430246949, 13223001109687815, 10461512493459648399, 8276732547425415428669, 6548221560172100787717125, 5180692423659560643509585071, 4098757768339496789285781750439

Offset

1,1

Comments

Column 4 of A205170

Links

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

Formula

Empirical: a(n) = 833*a(n-1) -33758*a(n-2) +523880*a(n-3) -3857129*a(n-4) +13605853*a(n-5) -17604432*a(n-6) -15652010*a(n-7) +55894364*a(n-8) -22106688*a(n-9) -29904720*a(n-10) +18240672*a(n-11) +492672*a(n-12) -1016064*a(n-13)

Example

Some solutions for n=4
..0..0..0..0..1....0..0..0..0..0....0..0..1..0..0....0..0..1..1..0
..2..1..3..0..0....0..1..2..1..0....2..0..3..0..2....0..1..1..0..2
..1..3..2..2..0....1..3..1..3..3....0..3..1..1..2....1..1..0..0..3
..2..2..1..1..0....1..1..0..0..1....0..2..0..1..0....1..3..0..1..0
..1..1..3..2..1....0..0..2..0..0....3..2..2..1..2....1..3..2..3..1

Crossrefs

Sequence in context: A204949 A268909 A243467 * A238514 A252549 A231196

Adjacent sequences: A205163 A205164 A205165 * A205167 A205168 A205169

Keyword

nonn

Author

R. H. Hardin Jan 22 2012

Status

approved