A212941 Number of n X 6 0..5 arrays with no column j greater than or equal to than column j-1 in all rows.

1, 152747323, 28744943858947, 2438624218076957695, 153322267564381742818531, 8389667096561737605103329223, 427593510370812774462812710051387, 20973117493971065058428815227499445215

Offset

1,2

Comments

Column 6 of A212943.

Links

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

Formula

Empirical: a(n) = 130453*a(n-1) -6763333836*a(n-2) +185208872760324*a(n-3) -2991440828618168976*a(n-4) +29966228467174160130816*a(n-5) -189618846625740940674481152*a(n-6) +754213725094693350993932353536*a(n-7) -1831929539263722316502211827073024*a(n-8) +2545588680910314328406052486644760576*a(n-9) -1758206800538810904218951296840095498240*a(n-10) +418951577236630476027552063815969641857024*a(n-11).

Empirical: a(n) = 6*15876^n -3*4536^n +2*1512^n +3136^n -5*27216^n -462^n -6*7056^n -9261^n +4*12096^n +2*2646^n +46656^n. - R. J. Mathar, Jun 27 2012

Example

Some solutions for n=4
..5..2..2..5..4..1....5..2..4..4..2..0....5..4..2..3..0..4....5..3..3..4..1..5
..0..1..4..4..1..4....0..5..4..0..2..1....3..5..3..1..5..3....3..1..2..1..5..5
..3..1..2..2..4..5....3..2..0..2..4..2....4..0..0..2..1..1....0..3..0..5..5..0
..0..4..1..0..5..3....5..3..5..0..4..3....5..3..0..4..5..2....0..4..3..1..4..2

Crossrefs

Cf. A212943.

Sequence in context: A160688 A151696 A221555 * A022249 A204605 A289248

Adjacent sequences: A212938 A212939 A212940 * A212942 A212943 A212944

Keyword

nonn

Author

R. H. Hardin, May 31 2012

Status

approved