A252610 Number of (n+2)X(3+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

1717, 2815, 7031, 15119, 51614, 153189, 342559, 1193633, 3615116, 8087690, 28540149, 86930370, 193559058, 689795782, 2109640661, 4677334735, 16803139847, 51555232564, 113908588386, 411856910255, 1266861865118, 2791348808838

Offset

1,1

Comments

Column 3 of A252615

Links

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

Formula

Empirical: a(n) = 52*a(n-3) -856*a(n-6) +5181*a(n-9) -18180*a(n-12) +51196*a(n-15) -102032*a(n-18) +138624*a(n-21) -161024*a(n-24) +136192*a(n-27) -49152*a(n-30) for n>38

Example

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

Crossrefs

Sequence in context: A025039 A068303 A212929 * A237932 A276458 A252857

Adjacent sequences: A252607 A252608 A252609 * A252611 A252612 A252613

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved