A252143 Number of (n+2)X(3+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

5090, 3073, 5440, 4416, 9443, 8964, 21375, 18900, 49770, 41768, 119013, 96890, 286629, 226328, 711232, 538534, 1772259, 1320292, 4456963, 3253910, 11342342, 8103478, 28972257, 20505766, 74345217, 52088960, 191878288, 133068656

Offset

1,1

Comments

Column 3 of A252148

Links

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

Formula

Empirical: a(n) = 3*a(n-2) +3*a(n-3) +a(n-4) -9*a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) +3*a(n-9) -8*a(n-10) +27*a(n-11) +3*a(n-12) +27*a(n-13) +2*a(n-14) -12*a(n-15) -33*a(n-17) +a(n-18) -27*a(n-19) +6*a(n-20) +9*a(n-21) +8*a(n-22) +15*a(n-23) -2*a(n-24) +3*a(n-25) -5*a(n-26) -3*a(n-27) -a(n-28) +a(n-30) for n>36

Example

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

Crossrefs

Sequence in context: A116887 A034286 A260069 * A223400 A135842 A224492

Adjacent sequences: A252140 A252141 A252142 * A252144 A252145 A252146

Keyword

nonn

Author

R. H. Hardin, Dec 14 2014

Status

approved