A252966 Number of (5+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

1543, 596, 871, 1242, 1747, 2822, 4019, 6133, 9681, 14784, 22631, 37118, 57117, 91896, 149133, 240834, 387535, 649425, 1050067, 1754302, 2910669, 4884522, 8103169, 13839304, 23049703, 39413912, 66414125, 113933293, 192261463

Offset

1,1

Comments

Row 5 of A252961

Links

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

Formula

Empirical: a(n) = a(n-1) +6*a(n-2) -a(n-3) -15*a(n-4) -20*a(n-5) +26*a(n-6) +54*a(n-7) -12*a(n-8) -48*a(n-9) -47*a(n-10) +47*a(n-11) +22*a(n-12) -27*a(n-13) +27*a(n-14) -12*a(n-15) +18*a(n-16) -18*a(n-17) for n>19

Example

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

Crossrefs

Sequence in context: A083734 A375490 A137598 * A133560 A232102 A234031

Adjacent sequences: A252963 A252964 A252965 * A252967 A252968 A252969

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved