A252674 Number of (n+2)X(3+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

901, 1005, 2106, 4298, 11543, 28363, 64640, 181608, 459594, 1077260, 3086344, 7919676, 18750107, 54232060, 140107552, 333274007, 968659780, 2511122087, 5987505072, 17447315392, 45310860821, 108172897186, 315636791803

Offset

1,1

Comments

Column 3 of A252679

Links

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

Formula

Empirical: a(n) = 38*a(n-3) -510*a(n-6) +3407*a(n-9) -14867*a(n-12) +49887*a(n-15) -127941*a(n-18) +243668*a(n-21) -347849*a(n-24) +360411*a(n-27) -231887*a(n-30) +57472*a(n-33) +13006*a(n-36) -6088*a(n-39) +1361*a(n-42) -53*a(n-45) -62*a(n-48) +8*a(n-51) for n>53

Example

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

Crossrefs

Sequence in context: A093798 A093218 A093215 * A158407 A250782 A031738

Adjacent sequences: A252671 A252672 A252673 * A252675 A252676 A252677

Keyword

nonn

Author

R. H. Hardin, Dec 20 2014

Status

approved