A252423 T(n,k)=Number of (n+2)X(k+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

830, 1006, 1006, 1099, 854, 1099, 1536, 1098, 1098, 1536, 2380, 1704, 2348, 1704, 2380, 3719, 3472, 3796, 3796, 3472, 3719, 5725, 7186, 11409, 6834, 11409, 7186, 5725, 9410, 12214, 30724, 22038, 22038, 30724, 12214, 9410, 15913, 28034, 53782, 62288

Offset

1,1

Comments

Table starts

...830...1006...1099....1536.....2380......3719......5725.......9410

..1006....854...1098....1704.....3472......7186.....12214......28034

..1099...1098...2348....3796....11409.....30724.....53782.....173544

..1536...1704...3796....6834....22038.....62288....113324.....380113

..2380...3472..11409...22038....96549....365974....715123....3213732

..3719...7186..30724...62288...365974...1757580...3582225...21882869

..5725..12214..53782..113324...715123...3582225...7509929...47586055

..9410..28034.173544..380113..3213732..21882869..47586055..405192038

.15913..60808.488169.1090041.12306520.107926383.239646231.2792722368

.24959.104972.862550.1973072.23990357.220463165.500354430.6038049619

Links

R. H. Hardin, Table of n, a(n) for n = 1..480

Example

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

Crossrefs

Sequence in context: A252988 A366704 A252415 * A252416 A125519 A351666

Adjacent sequences: A252420 A252421 A252422 * A252424 A252425 A252426

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved