A252614 Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 8.

25137, 71856, 437805, 1358948, 11582748, 82404422, 264208755, 2251674722, 16173953810, 51883573465, 440765079936, 3186639297404, 10218761909241, 86515825268745, 629079874649132, 2016591091045729, 17021928855523720

Offset

1,1

Comments

Column 7 of A252615.

Links

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

Formula

Empirical: a(n) = 422*a(n-3) -53028*a(n-6) +1992375*a(n-9) -57559941*a(n-12) +1160058288*a(n-15) -13060432898*a(n-18) +76525133647*a(n-21) -226007166324*a(n-24) +355217689092*a(n-27) -363893614656*a(n-30) +282528094464*a(n-33) -134212488192*a(n-36) +21798346752*a(n-39) for n>48.

Example

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

Crossrefs

Cf. A252615.

Sequence in context: A212726 A258542 A205041 * A253530 A190319 A296097

Adjacent sequences: A252611 A252612 A252613 * A252615 A252616 A252617

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved