A252810 Number of (n+2)X(7+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order

8513, 1864, 2891, 3763, 7897, 13010, 17895, 36732, 58811, 78891, 160955, 259629, 349201, 716293, 1159417, 1562622, 3205525, 5186556, 6988188, 14331386, 23186122, 31239512, 64069106, 103663258, 139674119, 286463760, 463502151, 624517519

Offset

1,1

Comments

Column 7 of A252811

Links

R. H. Hardin, Table of n, a(n) for n = 1..133

Formula

Empirical: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -5*a(n-6) +5*a(n-7) -7*a(n-9) +7*a(n-10) -6*a(n-12) +6*a(n-13) -3*a(n-15) +3*a(n-16) +21*a(n-18) -21*a(n-19) +18*a(n-21) -18*a(n-22) +9*a(n-24) -9*a(n-25) +3*a(n-27) -3*a(n-28) -2*a(n-30) +2*a(n-31) -a(n-33) +a(n-34) for n>39

Example

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

Crossrefs

Sequence in context: A348605 A260988 A188214 * A202986 A297896 A217338

Adjacent sequences: A252807 A252808 A252809 * A252811 A252812 A252813

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved