A224011 Number of nX7 0..2 arrays with rows nondecreasing and antidiagonals unimodal

36, 1296, 31324, 595822, 9866389, 150787422, 2200064042, 31256208954, 437370837827, 6067995150599, 83782568814192, 1153696422958020, 15862451436172435, 217909148559859942, 2992039535598090819

Offset

1,1

Comments

Column 7 of A224012

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -505*a(n-2) +3667*a(n-3) -15271*a(n-4) +38113*a(n-5) -59621*a(n-6) +53813*a(n-7) -125335*a(n-8) +657330*a(n-9) -1326014*a(n-10) +2644047*a(n-11) +3529521*a(n-12) +7803900*a(n-13) +959690*a(n-14) +28175350*a(n-15) +27269532*a(n-16) +18725976*a(n-17) +1826832*a(n-18) +1263744*a(n-19)

Example

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

Crossrefs

Sequence in context: A223924 A224352 A224194 * A300357 A009980 A041613

Adjacent sequences: A224008 A224009 A224010 * A224012 A224013 A224014

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved