A255792 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0

90, 177, 177, 361, 270, 361, 715, 491, 491, 715, 1478, 884, 1050, 884, 1478, 2969, 1696, 2141, 2141, 1696, 2969, 6186, 3376, 4908, 5240, 4908, 3376, 6186, 12534, 6668, 11631, 13857, 13857, 11631, 6668, 12534, 26219, 13654, 28009, 38889, 43838, 38889, 28009

Offset

1,1

Comments

Table starts

....90...177....361.....715.....1478......2969.......6186......12534

...177...270....491.....884.....1696......3376.......6668......13654

...361...491...1050....2141.....4908.....11631......28009......69326

...715...884...2141....5240....13857.....38889.....110678.....318089

..1478..1696...4908...13857....43838....148202.....496995....1676288

..2969..3376..11631...38889...148202....597517....2364049....9385686

..6186..6668..28009..110678...496995...2364049...10902535...50280547

.12534.13654..69326..318089..1676288...9385686...50280547..269859998

.26219.28636.174169..924343..5721657..37725371..235622788.1476233444

.53487.60436.438621.2692440.19514341.151145267.1098780761.8022587091

Links

R. H. Hardin, Table of n, a(n) for n = 1..758

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 38] for n>41

k=3: [order 46] for n>49

k=4: [order 44] for n>47

k=5: [order 62] for n>68

k=6: [order 76] for n>83

Example

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

Crossrefs

Sequence in context: A048705 A119895 A270266 * A255785 A366740 A119896

Adjacent sequences: A255789 A255790 A255791 * A255793 A255794 A255795

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 06 2015

Status

approved