A252962 Number of (1+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.

60, 119, 223, 603, 1251, 3465, 7495, 20977, 46641, 130201, 295421, 819671, 1887977, 5198935, 12122019, 33114775, 78003575, 211448997, 502437547, 1352207165, 3237425013, 8655725461, 20860577041, 55443864307, 134398704589, 355316036899

Offset

1,1

Comments

Row 1 of A252961

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-2) -27*a(n-4) -55*a(n-5) +46*a(n-6) +157*a(n-7) +65*a(n-8) -168*a(n-9) -321*a(n-10) +123*a(n-11) +171*a(n-12) +198*a(n-13) -198*a(n-14) for n>16

Example

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

Crossrefs

Sequence in context: A174601 A306908 A252961 * A296767 A336442 A096490

Adjacent sequences: A252959 A252960 A252961 * A252963 A252964 A252965

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved