A252569 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7

1069, 1795, 4168, 10885, 34532, 96099, 275252, 896803, 2561903, 7521424, 25021976, 72374863, 214845510, 722910315, 2103362049, 6276229910, 21234443167, 61951956820, 185297812626, 628515657355, 1835985520369, 5497328348638

Offset

1,1

Comments

Column 3 of A252574

Links

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

Formula

Empirical: a(n) = 57*a(n-3) -1068*a(n-6) +8828*a(n-9) -37486*a(n-12) +91215*a(n-15) -139676*a(n-18) +143042*a(n-21) -98725*a(n-24) +44005*a(n-27) -11816*a(n-30) +1746*a(n-33) -124*a(n-36) +3*a(n-39) for n>46

Example

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

Crossrefs

Sequence in context: A328894 A289702 A095673 * A020386 A236870 A345904

Adjacent sequences: A252566 A252567 A252568 * A252570 A252571 A252572

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved