A252645 Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7

4382, 28978, 145594, 395940, 2641643, 14252070, 39238223, 282076967, 1562428650, 4317049341, 33191406729, 186102810754, 519319781185, 4188303585399, 23594059633148, 66676725102239, 554460061190973, 3126643877968488

Offset

1,1

Comments

Row 5 of A252640

Links

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

Formula

Empirical: a(n) = 424*a(n-3) -72312*a(n-6) +6593809*a(n-9) -362649424*a(n-12) +12966833847*a(n-15) -318077673736*a(n-18) +5579536172662*a(n-21) -72397889059571*a(n-24) +714990152543472*a(n-27) -5502974489523412*a(n-30) +33615022144780460*a(n-33) -164978487557249434*a(n-36) +654835044110359358*a(n-39) -2106135297077276208*a(n-42) +5481489521504612286*a(n-45) -11505481554272991256*a(n-48) +19391619848013982308*a(n-51) -26122513500027821176*a(n-54) +28001956970298777680*a(n-57) -23793990756728478384*a(n-60) +15973131174315720512*a(n-63) -8433805375387204384*a(n-66) +3471175879527764608*a(n-69) -1095501701926080192*a(n-72) +258934215350992640*a(n-75) -44555469163692032*a(n-78) +5375791566110720*a(n-81) -420928052133888*a(n-84) +17659974385664*a(n-87) -276446576640*a(n-90) for n>94

Example

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

Crossrefs

Sequence in context: A111345 A203874 A205317 * A252858 A027506 A343828

Adjacent sequences: A252642 A252643 A252644 * A252646 A252647 A252648

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved