A251974 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing sum of every two consecutive values in every row and column

256, 1600, 1600, 10000, 20000, 10000, 40000, 250000, 250000, 40000, 160000, 1750000, 6250000, 1750000, 160000, 490000, 12250000, 76562500, 76562500, 12250000, 490000, 1500625, 60025000, 937890625, 1500625000, 937890625

Offset

1,1

Comments

Table starts

.....256......1600.......10000.........40000..........160000............490000

....1600.....20000......250000.......1750000........12250000..........60025000

...10000....250000.....6250000......76562500.......937890625........7353062500

...40000...1750000....76562500....1500625000.....29412250000......345888060000

..160000..12250000...937890625...29412250000....922368160000....16270574342400

..490000..60025000..7353062500..345888060000..16270574342400...410018473428480

.1500625.294122500.57648010000.4067643585600.287012931399936.10332465530397696

Links

R. H. Hardin, Table of n, a(n) for n = 1..160

Formula

Empirical for column k:

k=1: [linear recurrence of order 24; also a polynomial of degree 12 plus a quasipolynomial of degree 10 with period 2]

k=2: [order 36; also a polynomial of degree 18 plus a quasipolynomial of degree 16 with period 2]

k=3: [order 48; also a polynomial of degree 24 plus a quasipolynomial of degree 22 with period 2]

k=4: [polynomial of degree 30 plus a quasipolynomial of degree 28 with period 2]

Example

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

Crossrefs

Column 1 is A250429

Column 3 is A250440

Sequence in context: A237915 A238081 A238074 * A250429 A238155 A238148

Adjacent sequences: A251971 A251972 A251973 * A251975 A251976 A251977

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2014

Status

approved