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
Examples
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
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]
Comments