A252685 Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

2554, 7164, 28363, 56318, 314753, 1404868, 2879551, 16215688, 73440337, 150742726, 853509651, 3885489828, 7973408731, 45304665056, 206951131499, 424580014364, 2418730083067, 11076541430146, 22720056873483

Offset

1,1

Comments

Row 6 of A252679

Links

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

Formula

Empirical: a(n) = 107*a(n-3) -3311*a(n-6) +21299*a(n-9) +215416*a(n-12) -2515712*a(n-15) -1517286*a(n-18) +94043938*a(n-21) -198540459*a(n-24) -1461395767*a(n-27) +6445269765*a(n-30) +2002378911*a(n-33) -56306131888*a(n-36) +114101573392*a(n-39) -66805695788*a(n-42) -34180346472*a(n-45) +49075698736*a(n-48) -8187150816*a(n-51) -6876916928*a(n-54) +2264282496*a(n-57) +107066880*a(n-60) -78299136*a(n-63) +7962624*a(n-66) for n>71

Example

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

Crossrefs

Sequence in context: A050544 A185516 A235085 * A255030 A255037 A256948

Adjacent sequences: A252682 A252683 A252684 * A252686 A252687 A252688

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved