A252523 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 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7

806, 791, 791, 475, 432, 475, 660, 798, 798, 660, 1093, 1169, 1783, 1169, 1093, 1471, 2492, 2818, 2818, 2492, 1471, 2176, 5214, 8354, 5628, 8354, 5214, 2176, 3809, 9069, 21510, 17804, 17804, 21510, 9069, 3809, 6101, 20926, 39689, 47308, 74181, 47308

Offset

1,1

Comments

Table starts

..806...791....475.....660.....1093......1471......2176.......3809........6101

..791...432....798....1169.....2492......5214......9069......20926.......45114

..475...798...1783....2818.....8354.....21510.....39689.....125839......336794

..660..1169...2818....5628....17804.....47308.....96659.....310987......832766

.1093..2492...8354...17804....74181....268555....581529....2449868.....9015835

.1471..5214..21510...47308...268555...1215491...2662952...15755867....73792188

.2176..9069..39689...96659...581529...2662952...6486931...38674076...177771524

.3809.20926.125839..310987..2449868..15755867..38674076..304232630..1994599334

.6101.45114.336794..832766..9015835..73792188.177771524.1994599334.16970081459

.9098.80515.629921.1703099.19533141.160605830.432970668.4886570340.40415827217

Links

R. H. Hardin, Table of n, a(n) for n = 1..544

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-3) -7*a(n-6) +2*a(n-9) for n>14

k=2: [order 21] for n>24

k=3: [order 24] for n>29

k=4: a(n) = 21*a(n-3) -62*a(n-6) +47*a(n-9) -5*a(n-12) for n>17

k=5: [order 36] for n>39

k=6: [order 42] for n>50

k=7: [order 21] for n>29

Example

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

Crossrefs

Sequence in context: A249877 A252515 A252516 * A243858 A252682 A235093

Adjacent sequences: A252520 A252521 A252522 * A252524 A252525 A252526

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2014

Status

approved