A252473 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

570, 716, 716, 1299, 682, 1299, 2380, 813, 813, 2380, 4507, 1463, 1741, 1463, 4507, 8624, 3497, 5367, 5367, 3497, 8624, 17061, 9056, 18175, 22832, 18175, 9056, 17061, 34876, 24331, 62391, 96543, 96543, 62391, 24331, 34876, 71785, 66366, 213791

Offset

1,1

Comments

Table starts

....570....716....1299......2380.......4507........8624........17061

....716....682.....813......1463.......3497........9056........24331

...1299....813....1741......5367......18175.......62391.......213791

...2380...1463....5367.....22832......96543......409090......1741406

...4507...3497...18175.....96543.....504030.....2670237.....14105131

...8624...9056...62391....409090....2670237....17562191....115183323

..17061..24331..213791...1741406...14105131...115183323....937980722

..34876..66366..735125...7424273...74389293...755607698...7634089567

..71785.182232.2535533..31630086..393421203..4967204849..62282795777

.147822.501727.8732005.134638315.2079994072.32613906966.507708323820

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Formula

Empirical for column k:

k=1: [linear recurrence of order 46] for n>55

k=2: [order 16] for n>21

k=3: [order 19] for n>24

k=4: [order 24] for n>28

k=5: [order 44] for n>47

k=6: [order 72] for n>75

Example

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

Crossrefs

Sequence in context: A219992 A221218 A252465 * A252466 A097035 A074907

Adjacent sequences: A252470 A252471 A252472 * A252474 A252475 A252476

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved