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A224058 Number of nX2 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 4
16, 160, 984, 4580, 17723, 59792, 180821, 499357, 1276595, 3053471, 6892199, 14784563, 30317821, 59727346, 113515445, 208880837, 373286086, 649594326, 1103335758, 1832822970, 2983026931, 4764357840, 7477772697, 11547960881 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A224064

LINKS

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

FORMULA

Empirical: a(n) = (1/19160064)*n^12 + (1/456192)*n^11 + (2287/43545600)*n^10 + (215/290304)*n^9 + (2861/414720)*n^8 + (7187/161280)*n^7 + (10695901/43545600)*n^6 + (212027/207360)*n^5 + (6072841/2177280)*n^4 + (1652783/362880)*n^3 + (1059277/237600)*n^2 + (26023/13860)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A180798 A144453 A121036 * A073394 A038846 A079767

Adjacent sequences:  A224055 A224056 A224057 * A224059 A224060 A224061

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 30 2013

STATUS

approved

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Last modified June 26 13:04 EDT 2022. Contains 354883 sequences. (Running on oeis4.)