A252635 Number of (n+2)X(3+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

1758, 4026, 12840, 39492, 145594, 527688, 1812508, 7013991, 27089549, 99843027, 396169255, 1576927259, 6006620761, 24092395312, 97158953094, 375234161454, 1511433556881, 6126979242693, 23792634809473, 95990057129897

Offset

1,1

Comments

Column 3 of A252640

Links

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

Formula

Empirical: a(n) = 140*a(n-3) -6944*a(n-6) +157621*a(n-9) -1691268*a(n-12) +8267548*a(n-15) -25478928*a(n-18) +65654144*a(n-21) -110095616*a(n-24) +126170112*a(n-27) -143638528*a(n-30) +78643200*a(n-33) for n>42

Example

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

Crossrefs

Sequence in context: A043436 A119406 A204280 * A213459 A186012 A031802

Adjacent sequences: A252632 A252633 A252634 * A252636 A252637 A252638

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved