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

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Column 7 of A224012

Examples

			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
		

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) [phone]*a(n-15) [phone]*a(n-16) [phone]*a(n-17) +1826832*a(n-18) +1263744*a(n-19)