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A223579 Number of n X n 0..3 arrays with antidiagonals unimodal 1
4, 256, 204800, 1331200000, 51224576000000, 9249109442560000000, 6561595711835340800000000, 15895655898196756312883200000000, 117344147980184981008663340646400000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Diagonal of A223585

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..48

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(n) * product{ U(i)^2 , i=1..(n-1) }

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A209086 A207051 A207128 * A206832 A206894 A207284

Adjacent sequences:  A223576 A223577 A223578 * A223580 A223581 A223582

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 22 2013

STATUS

approved

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Last modified October 20 10:21 EDT 2021. Contains 348100 sequences. (Running on oeis4.)