A252692 Number of (n+2) X (5+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.

707, 1047, 291, 2048, 568, 4138, 1276, 8608, 3244, 18576, 9144, 42296, 28216, 103864, 93952, 280984, 331576, 844608, 1220616, 2791640, 4625680, 9918808, 17868760, 36985312, 69891304, 142049784, 275570832, 555075896, 1092124792, 2190548320

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) - 2*a(n-2) - 7*a(n-3) + 2*a(n-4) + 6*a(n-5) + 14*a(n-6) - 20*a(n-7) - 4*a(n-8) + 8*a(n-9) for n>10.

Empirical g.f.: x*(707 - 1781*x - 2483*x^2 + 7927*x^3 - 1127*x^4 + 1663*x^5 - 16566*x^6 + 9396*x^7 + 6600*x^8 - 4256*x^9) / ((1 - x)*(1 - 2*x)*(1 - x - x^2)*(1 - 2*x^2)*(1 - 2*x^3)). - Colin Barker, Dec 05 2018

Example

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

Crossrefs

Column 5 of A252695.

Sequence in context: A005845 A183795 A335092 * A074869 A212476 A332170

Adjacent sequences: A252689 A252690 A252691 * A252693 A252694 A252695

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved