A252615 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

614, 1051, 725, 1717, 1379, 1042, 3235, 2815, 2817, 1635, 6403, 6019, 7031, 5304, 3022, 12421, 13879, 17762, 15119, 14435, 5503, 25137, 31514, 58239, 43595, 51614, 37917, 9927, 50144, 71856, 156499, 147592, 174803, 153189, 75859, 19165, 99378

Offset

1,1

Comments

Table starts

...614....1051....1717.....3235......6403......12421.......25137........50144

...725....1379....2815.....6019.....13879......31514.......71856.......170404

..1042....2817....7031....17762.....58239.....156499......437805......1506801

..1635....5304...15119....43595....147592.....433665.....1358948......4510703

..3022...14435...51614...174803....814008....3108884....11582748.....52469568

..5503...37917..153189...617798...4274586...18149682....82404422....571397644

..9927...75859..342559..1597203..11003134...51303874...264208755...1700337789

.19165..213611.1193633..6498007..62184813..373181073..2251674722..20242422160

.36457..599753.3615116.23325496.344281115.2202127052.16173953810.233838315214

.66942.1195427.8087690.60375689.865035915.6156657609.51883573465.674994668281

Links

R. H. Hardin, Table of n, a(n) for n = 1..545

Formula

Empirical for column k:

k=1: [linear recurrence of order 25] for n>31

k=2: [order 24] for n>33

k=3: [order 30] for n>38

k=4: [order 27] for n>35

k=5: [order 30] for n>38

k=6: [order 48] for n>57

k=7: [order 39] for n>48

Empirical for row n:

n=1: [linear recurrence of order 61] for n>69

n=2: [order 49] for n>52

n=3: [order 45] for n>48

n=4: [order 54] for n>58

n=5: [order 72] for n>75

Example

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

Crossrefs

Sequence in context: A165771 A025329 A252608 * A252616 A252607 A210103

Adjacent sequences: A252612 A252613 A252614 * A252616 A252617 A252618

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2014

Status

approved