A201275 Number of n X 6 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

1, 1, 9, 41, 143, 442, 1260, 3113, 7331, 15969, 32737, 63942, 120318, 216392, 377902, 640970, 1055829, 1699241, 2679576, 4132842, 6267048, 9345121, 13712218, 19841970, 28343579, 39963063, 55722233, 76873873, 104958237, 141966994, 190366323, 253040267, 333758897

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200 (terms n = 1..101 from R. H. Hardin)

Example

Some solutions for n=5:
  0 0 0 0 0 0   0 0 0 1 1 1   0 0 0 0 0 0   0 0 0 0 1 1
  0 0 1 1 1 1   0 0 0 1 1 1   0 0 0 1 1 1   0 0 0 1 1 1
  0 1 1 1 2 2   0 0 1 1 1 1   0 1 1 1 1 2   0 1 1 1 1 2
  0 1 1 1 2 2   0 2 2 2 2 2   1 1 1 2 2 2   0 1 2 2 2 2
  2 2 2 2 2 2   0 2 2 2 2 2   2 2 2 2 2 2   0 2 2 2 2 2

Crossrefs

Column 6 of A201277.

Sequence in context: A001846 A271663 A034441 * A056243 A083584 A276780

Adjacent sequences: A201272 A201273 A201274 * A201276 A201277 A201278

Keyword

nonn

Author

R. H. Hardin, Nov 29 2011

Extensions

a(0)=1 prepended by Alois P. Heinz, Mar 18 2024

Status

approved