A208396 Number of 5Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

41, 9842, 2056392, 438083928, 93120350760, 19798894881900, 4209452449879284, 894976200467603100, 190281795998287100868, 40456006404952930502220, 8601392693737014451368372, 1828750854693797651745630540

Offset

1,1

Comments

Row 5 of A208392

Links

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

Formula

Empirical: a(n) = 171*a(n-1) +8504*a(n-2) +77860*a(n-3) -1000900*a(n-4) -11005932*a(n-5) +78914544*a(n-6) +374284064*a(n-7) -3897108352*a(n-8) +9817487872*a(n-9) -6449426432*a(n-10) -6696632320*a(n-11) +7534936064*a(n-12) +1817837568*a(n-13) -2092433408*a(n-14) -484442112*a(n-15) for n>18

Example

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

Crossrefs

Sequence in context: A201171 A208389 A282273 * A240704 A240641 A106203

Adjacent sequences: A208393 A208394 A208395 * A208397 A208398 A208399

Keyword

nonn

Author

R. H. Hardin Feb 25 2012

Status

approved