A252563 Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

2162, 7144, 33635, 80820, 474384, 2464176, 5882014, 35442488, 192831680, 452243221, 2794490907, 15799881103, 36529660074, 230231519250, 1340006010540, 3065481912634, 19603327646392, 116462461825208, 264466171501177

Offset

1,1

Comments

Row 5 of A252558

Links

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

Formula

Empirical: a(n) = 156*a(n-3) -6470*a(n-6) +53472*a(n-9) -284258*a(n-12) +1115672*a(n-15) -1799999*a(n-18) +969878*a(n-21) -48450*a(n-24) for n>32

Example

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

Crossrefs

Sequence in context: A159238 A289725 A116074 * A035872 A126831 A161998

Adjacent sequences: A252560 A252561 A252562 * A252564 A252565 A252566

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved