A252611 Number of (n+2)X(4+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

3235, 6019, 17762, 43595, 174803, 617798, 1597203, 6498007, 23325496, 60375689, 244646507, 882016384, 2281459715, 9221889835, 33378653472, 86302253259, 348152552483, 1264944161008, 3269335175355, 13163856447619, 48000565425360

Offset

1,1

Comments

Column 4 of A252615

Links

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

Formula

Empirical: a(n) = 82*a(n-3) -2013*a(n-6) +14952*a(n-9) -82100*a(n-12) +331384*a(n-15) -672832*a(n-18) +609568*a(n-21) -210304*a(n-24) +11264*a(n-27) for n>35

Example

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

Crossrefs

Sequence in context: A295474 A283578 A231141 * A361262 A185465 A254974

Adjacent sequences: A252608 A252609 A252610 * A252612 A252613 A252614

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved