A212940 Number of nX5 0..4 arrays with no column j greater than or equal to than column j-1 in all rows

1, 1016501, 10058484751, 52311221188001, 212180664326328751, 764898125476357657001, 2592491557886605293297751, 8492622463881130571398876001, 27285563319283684654297283766751

Offset

1,2

Comments

Column 5 of A212943

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 8001*a(n-1) -24144750*a(n-2) +35582371250*a(n-3) -27539217890625*a(n-4) +11055908759765625*a(n-5) -2081011816406250000*a(n-6) +133539505004882812500*a(n-7).

Empirical: a(n) = -2*350^n+3*875^n+3*1125^n+3125^n+126^n-4*1875^n-2*525^n. R. J. Mathar, Jun 27 2012

Example

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

Crossrefs

Sequence in context: A252916 A340435 A066598 * A232144 A293127 A190381

Adjacent sequences: A212937 A212938 A212939 * A212941 A212942 A212943

Keyword

nonn

Author

R. H. Hardin May 31 2012

Status

approved