A224201 Number of nX5 0..3 arrays with rows unimodal and antidiagonals nondecreasing

296, 17723, 586343, 16355242, 451319098, 12652618110, 357890479324, 10153767871028, 288290902851198, 8186391229197618, 232464667737624940, 6601126525130276106, 187446397143433832288, 5322740642815551322518

Offset

1,1

Comments

Column 5 of A224204

Links

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

Formula

Empirical: a(n) = 56*a(n-1) -1098*a(n-2) +10776*a(n-3) -59038*a(n-4) +197135*a(n-5) -527776*a(n-6) +1780117*a(n-7) -5020078*a(n-8) +3603978*a(n-9) -19091082*a(n-10) +61460622*a(n-11) +49090018*a(n-12) +274177128*a(n-13) +105163104*a(n-14) +354022404*a(n-15) +28705280*a(n-16) +147891456*a(n-17) -1275168*a(n-18) +15980544*a(n-19) for n>23

Example

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

Crossrefs

Sequence in context: A224061 A224047 A224278 * A223809 A223759 A223847

Adjacent sequences: A224198 A224199 A224200 * A224202 A224203 A224204

Keyword

nonn

Author

R. H. Hardin Apr 01 2013

Status

approved