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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 9
19683, 157464, 157464, 1259712, 2099520, 1259712, 10077696, 27993600, 27993600, 10077696, 46656000, 373248000, 622080000, 373248000, 46656000, 216000000, 2592000000, 13824000000, 13824000000, 2592000000, 216000000, 1000000000 (list; table; graph; refs; listen; history; text; internal format)
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 * A250594 A067489 A250510

Adjacent sequences:  A250598 A250599 A250600 * A250602 A250603 A250604

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 25 2014

STATUS

approved

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Last modified September 23 05:16 EDT 2021. Contains 347609 sequences. (Running on oeis4.)