A252144 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

8132, 3797, 4416, 5860, 8391, 11662, 17166, 25025, 36612, 54416, 82121, 119328, 180164, 266685, 401534, 600440, 916707, 1359940, 2087210, 3122195, 4773764, 7180420, 11064993, 16584382, 25660862, 38641561, 59663236, 90104864, 139698239

Offset

1,1

Comments

Column 4 of A252148

Links

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

Formula

Empirical: a(n) = a(n-2) +3*a(n-3) +a(n-4) -3*a(n-5) +4*a(n-6) -3*a(n-7) +3*a(n-8) -15*a(n-9) -6*a(n-11) +2*a(n-12) +3*a(n-13) -a(n-14) +9*a(n-15) -a(n-16) +9*a(n-17) -4*a(n-18) -3*a(n-20) +3*a(n-21) -a(n-24) for n>31

Example

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

Crossrefs

Sequence in context: A092208 A082919 A217222 * A201802 A233814 A190835

Adjacent sequences: A252141 A252142 A252143 * A252145 A252146 A252147

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved