A251876 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7

1038, 2146, 2146, 3092, 5632, 3092, 5756, 7160, 7160, 5756, 11008, 15116, 7080, 15116, 11008, 18400, 36852, 9936, 9936, 36852, 18400, 32372, 41816, 18464, 13152, 18464, 41816, 32372, 60292, 99808, 31296, 31520, 31520, 31296, 99808, 60292

Offset

1,1

Comments

Table starts

...1038...2146...3092...5756...11008...18400....32372....60292....100612

...2146...5632...7160..15116...36852...41816....99808...169196....246152

...3092...7160...7080...9936...18464...31296....40816....93176....140408

...5756..15116...9936..13152...31520...46464....62720...164480....252736

..11008..36852..18464..31520..107040..151704...267872...924272...1402224

..18400..41816..31296..46464..151704..309144...506656..1847872...4274816

..32372..99808..40816..62720..267872..506656...893120..3499888...8000000

..60292.169196..93176.164480..924272.1847872..3499888.19032128..47257792

.100612.246152.140408.252736.1402224.4274816..8000000.47257792.165273152

.176372.568040.223728.389376.2561696.7487600.15317248.93188992.341663728

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Formula

Empirical for column k:

k=1: [linear recurrence of order 18] for n>23

k=2: [order 27] for n>33

k=3: a(n) = 15*a(n-3) -50*a(n-6) -160*a(n-9) +1056*a(n-12) -1280*a(n-15) for n>22

k=4: a(n) = 8*a(n-3) +16*a(n-6) -128*a(n-9) for n>17

k=5: a(n) = 21*a(n-3) -88*a(n-6) -336*a(n-9) +1664*a(n-12) for n>21

k=6: [order 18] for n>28

k=7: a(n) = 29*a(n-3) -168*a(n-6) for n>17

Example

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

Crossrefs

Sequence in context: A163559 A159052 A065572 * A251869 A251868 A074673

Adjacent sequences: A251873 A251874 A251875 * A251877 A251878 A251879

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 10 2014

Status

approved