A222004 Number of n X 6 arrays with each row a permutation of 1..6 having at least as many downsteps as the preceding row, with rows in lexicographically nonincreasing order.

720, 138715, 15637284, 1252017597, 77961426700, 3982479033010, 172906859984380, 6543173556319109, 219895864612975276, 6658221038381059161, 183720358904970752868, 4662354960197094985853, 109643129437736738271166

Offset

1,1

Comments

Column 6 of A222005.

Links

R. H. Hardin, Table of n, a(n) for n = 1..203

Example

Some solutions for n=3
..4..1..2..3..5..6....1..4..6..2..5..3....4..1..2..5..6..3....1..3..5..6..2..4
..1..3..5..4..6..2....1..3..6..4..2..5....1..6..3..5..2..4....1..3..2..5..4..6
..1..2..6..3..5..4....1..2..5..4..3..6....1..2..5..4..3..6....1..2..4..3..6..5

Crossrefs

Cf. A222005.

Sequence in context: A003931 A158049 A294705 * A047803 A166765 A008411

Adjacent sequences: A222001 A222002 A222003 * A222005 A222006 A222007

Keyword

nonn

Author

R. H. Hardin, Feb 03 2013

Status

approved