A252558 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

771, 1107, 747, 1510, 889, 832, 2443, 1752, 1477, 1265, 4284, 3178, 4006, 3084, 2162, 7755, 8508, 8329, 10585, 7144, 3761, 13917, 21797, 29158, 24336, 33635, 16327, 6855, 27182, 42359, 88899, 104515, 80820, 93997, 37430, 12549, 51187, 123304, 189777

Offset

1,1

Comments

Table starts

...771...1107....1510.....2443......4284.......7755.......13917........27182

...747....889....1752.....3178......8508......21797.......42359.......123304

...832...1477....4006.....8329.....29158......88899......189777.......680323

..1265...3084...10585....24336....104515.....386004......902276......3886119

..2162...7144...33635....80820....474384....2464176.....5882014.....35442488

..3761..16327...93997...242136...1818662...11035929....28350064....216831038

..6855..37430..270672...748814...6914968...52263770...145399017...1341388351

.12549..88797..884446..2418811..30571435..332967343...892449409..11588408619

.22875.207847.2534461..7241365.118748167.1520737989..4324294849..72250603584

.42485.481879.7459102.22589612.457814585.7411561448.22587330627.456879026434

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Formula

Empirical for column k:

k=1: [linear recurrence of order 54] for n>60

k=2: [order 45] for n>50

k=3: [order 39] for n>45

k=4: [order 54] for n>60

k=5: [order 84] for n>89

Empirical for row n:

n=1: [linear recurrence of order 44] for n>60

n=2: [order 27] for n>32

n=3: [order 24] for n>31

n=4: [order 24] for n>30

n=5: [order 24] for n>32

n=6: [order 42] for n>49

n=7: [order 36] for n>45

Example

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

Crossrefs

Sequence in context: A252551 A045078 A252550 * A252559 A259696 A114543

Adjacent sequences: A252555 A252556 A252557 * A252559 A252560 A252561

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2014

Status

approved