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A223572 Number of nX4 0..2 arrays with antidiagonals unimodal 1
81, 6561, 352836, 16230456, 746600976, 34343644896, 1579807665216, 72671152599936, 3342873019597056, 153772158901464576, 7073519309467370496, 325381888235499042816, 14967566858832955969536, 688508075506315974598656 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 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,4))^(max(n,4)-min(n,4)+1) * product{ U(i)^2 , i=1..(min(n,4)-1) }

a(n) = 46*a(n-1) for n>3

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A207087 A207181 A188752 * A188872 A217997 A089683

Adjacent sequences:  A223569 A223570 A223571 * A223573 A223574 A223575

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 22 2013

STATUS

approved

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Last modified November 27 16:20 EST 2021. Contains 349394 sequences. (Running on oeis4.)