A250543 Number of (n+1)X(7+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction

4206453, 64993652, 555362165, 3475227442, 18064444143, 83356429646, 355022719767, 1430573448548, 5544630982113, 20906908229344, 77309801208801, 281951865918318, 1018337944028139, 3653463640888634, 13050682406346451

Offset

1,1

Comments

Column 7 of A250544

Links

R. H. Hardin, Table of n, a(n) for n = 1..30

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

Example

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

Crossrefs

Sequence in context: A036100 A236946 A258884 * A251800 A283033 A209395

Adjacent sequences: A250540 A250541 A250542 * A250544 A250545 A250546

Keyword

nonn

Author

R. H. Hardin, Nov 24 2014

Status

approved