A250601 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with nondecreasing sum of every three consecutive values in every row and column

19683, 157464, 157464, 1259712, 2099520, 1259712, 10077696, 27993600, 27993600, 10077696, 46656000, 373248000, 622080000, 373248000, 46656000, 216000000, 2592000000, 13824000000, 13824000000, 2592000000, 216000000, 1000000000

Offset

1,1

Comments

Table starts

......19683.......157464.........1259712..........10077696............46656000

.....157464......2099520........27993600.........373248000..........2592000000

....1259712.....27993600.......622080000.......13824000000........144000000000

...10077696....373248000.....13824000000......512000000000.......8000000000000

...46656000...2592000000....144000000000.....8000000000000.....175000000000000

..216000000..18000000000...1500000000000...125000000000000....3828125000000000

.1000000000.125000000000..15625000000000..1953125000000000...83740234375000000

.3375000000.590625000000.103359375000000.18087890625000000.1034024414062500000

Links

R. H. Hardin, Table of n, a(n) for n = 1..236

Formula

Empirical for column k:

k=1: [linear recurrence of order 53; also a polynomial of degree 18 plus a quasipolynomial of degree 16 with period 3]

Example

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

Crossrefs

Sequence in context: A046322 A224658 A224654 * A373476 A250594 A067489

Adjacent sequences: A250598 A250599 A250600 * A250602 A250603 A250604

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 25 2014

Status

approved