A223573 Number of nX5 0..2 arrays with antidiagonals unimodal

243, 59049, 7762392, 746600976, 64207683936, 5521860818496, 474880030390656, 40839682613596416, 3512212704769291776, 302050292610159092736, 25976325164473681975296, 2233963964144736649875456

Offset

1,1

Comments

Column 5 of A223576

Links

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

Formula

Let U(z) = (z^4+6*z^3+23*z^2+18*z+24)/24

a(n) = U(min(n,5))^(max(n,5)-min(n,5)+1) * product{ U(i)^2 , i=1..(min(n,5)-1) }

a(n) = 86*a(n-1) for n>4

Example

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

Crossrefs

Sequence in context: A016949 A223792 A223978 * A223329 A216328 A086649

Adjacent sequences: A223570 A223571 A223572 * A223574 A223575 A223576

Keyword

nonn

Author

R. H. Hardin Mar 22 2013

Status

approved