A252422 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7

5725, 12214, 53782, 113324, 715123, 3582225, 7509929, 47586055, 239646231, 500354430, 3170646607, 15978230331, 33346465798, 211307919221, 1064963403405, 2222470763470, 14083175964469, 70978102590637, 148123236212674

Offset

1,1

Comments

Column 7 of A252423

Links

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

Formula

Empirical: a(n) = 94*a(n-3) -2103*a(n-6) +20000*a(n-9) -92106*a(n-12) +209364*a(n-15) -240176*a(n-18) +130272*a(n-21) -25344*a(n-24) for n>33

Example

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

Crossrefs

Sequence in context: A253423 A202376 A330208 * A183647 A028547 A224726

Adjacent sequences: A252419 A252420 A252421 * A252423 A252424 A252425

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved