A252613 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

12421, 31514, 156499, 433665, 3108884, 18149682, 51303874, 373181073, 2202127052, 6156657609, 45414463138, 270053121307, 748380393975, 5583776785833, 33392302867052, 91876589978091, 691683392542601

Offset

1,1

Comments

Column 6 of A252615

Links

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

Formula

Empirical: a(n) = 247*a(n-3) -18229*a(n-6) +435125*a(n-9) -7886972*a(n-12) +105746826*a(n-15) -1010854357*a(n-18) +7651594613*a(n-21) -40888259393*a(n-24) +109594096265*a(n-27) -30541894616*a(n-30) -425407491332*a(n-33) +663520650848*a(n-36) +46176021456*a(n-39) -707642790080*a(n-42) +421397209600*a(n-45) -42946560000*a(n-48) for n>57

Example

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

Crossrefs

Sequence in context: A233964 A156116 A068676 * A221016 A237901 A234127

Adjacent sequences: A252610 A252611 A252612 * A252614 A252615 A252616

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved