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A223582 Number of nX5 0..3 arrays with antidiagonals unimodal 1
1024, 1048576, 512000000, 173056000000, 51224576000000, 15162474496000000, 4488092450816000000, 1328475365441536000000, 393228708170694656000000, 116395697618525618176000000, 34453126495083582980096000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A223585

LINKS

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

FORMULA

Let U(z) = (z^6+15*z^5+115*z^4+405*z^3+964*z^2+660*z+720)/720

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) = 296*a(n-1) for n>4

EXAMPLE

Some solutions for n=3

..0..0..0..3..3....0..0..2..0..2....0..0..0..0..3....0..0..0..1..0

..0..0..0..3..3....0..0..0..1..0....0..0..0..2..1....0..0..3..1..2

..0..0..3..3..1....0..0..1..2..3....0..0..0..0..0....0..0..0..2..2

CROSSREFS

Sequence in context: A016750 A223879 A223804 * A031155 A140300 A223355

Adjacent sequences:  A223579 A223580 A223581 * A223583 A223584 A223585

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 22 2013

STATUS

approved

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Last modified December 8 23:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)