A212928 Number of nX6 0..5 arrays with no column j greater than column j-1 in all rows

462, 724082352, 68264066143602, 4051316109991426752, 207406617181155352354002, 10046278068363977051128904352, 475997448692406224810330915906802

Offset

1,1

Comments

Column 6 of A212930

Links

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

Formula

Empirical: a(n) = 84893*a(n-1) -2276359483*a(n-2) +25831810460691*a(n-3) -141600299635779300*a(n-4) +393253940006658385200*a(n-5) -543914412861962657592000*a(n-6) +355178573601133735540800000*a(n-7) -106850312683474117501440000000*a(n-8) +12875773990520518094592000000000*a(n-9) -350101309136762266214400000000000*a(n-10) +337332030823872921600000000000000*a(n-11).

Empirical: a(n) = 46656^n -5*19440^n -1 -3*540^n -6*1800^n +6*8100^n -3375^n +400^n +4*4320^n +2*225^n +2*36^n. R. J. Mathar, Jun 27 2012

Example

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

Crossrefs

Sequence in context: A294853 A025038 A028684 * A102997 A252251 A139662

Adjacent sequences: A212925 A212926 A212927 * A212929 A212930 A212931

Keyword

nonn

Author

R. H. Hardin May 31 2012

Status

approved