A252809 Number of (n+2) X (6+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.

4045, 2301, 6961, 2795, 9869, 30949, 13010, 45797, 138103, 59021, 201153, 603059, 265491, 900991, 2696670, 1205865, 4066070, 12121386, 5482742, 18338088, 54449714, 24937056, 82737170, 244696567, 113512416, 373529183, 1100179669

Offset

1,1

Comments

Column 6 of A252811.

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical: a(n) = a(n-1) +10*a(n-3) -10*a(n-4) -27*a(n-6) +27*a(n-7) +6*a(n-9) -6*a(n-10) +6*a(n-12) -6*a(n-13) +53*a(n-15) -53*a(n-16) +29*a(n-18) -29*a(n-19) -29*a(n-21) +29*a(n-22) -79*a(n-24) +79*a(n-25) -62*a(n-27) +62*a(n-28) -12*a(n-30) +12*a(n-31) +5*a(n-33) -5*a(n-34) +4*a(n-36) -4*a(n-37) +a(n-39) -a(n-40) for n > 46.

Example

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

Crossrefs

Cf. A252811.

Sequence in context: A332458 A204948 A237030 * A202313 A001382 A090058

Adjacent sequences: A252806 A252807 A252808 * A252810 A252811 A252812

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved