A252167 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7

2581, 3712, 3712, 5025, 1930, 5025, 7570, 1574, 1574, 7570, 12522, 2075, 2264, 2075, 12522, 21186, 3749, 3925, 3925, 3749, 21186, 37337, 6883, 9178, 9058, 9178, 6883, 37337, 68096, 12842, 20753, 26129, 26129, 20753, 12842, 68096, 124387, 26127

Offset

1,1

Comments

Table starts

...2581...3712...5025....7570....12522.....21186......37337......68096

...3712...1930...1574....2075.....3749......6883......12842......26127

...5025...1574...2264....3925.....9178.....20753......46233.....114986

...7570...2075...3925....9058....26129.....67674.....170398.....513123

..12522...3749...9178...26129....90638....282255.....874123....3133532

..21186...6883..20753...67674...282255...1007913....3444924...14647117

..37337..12842..46233..170398...874123...3444924...13087197...69021164

..68096..26127.114986..513123..3133532..14647117...69021164..433466577

.124387..53376.269977.1339027..9855158..52661401..272148070.2027930035

.231325.107547.610667.3379880.31190308.182127968.1031454085.9834378488

Links

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

Formula

Empirical for column k:

k=2: [linear recurrence of order 35] for n>42

k=3: [order 40] for n>45

k=4: [order 46] for n>50

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

k=6: [order 86] for n>89

Example

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

Crossrefs

Sequence in context: A235094 A171257 A252159 * A252160 A236425 A235840

Adjacent sequences: A252164 A252165 A252166 * A252168 A252169 A252170

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved