

A224007


Number of n X 3 0..2 arrays with rows nondecreasing and antidiagonals unimodal.


1



10, 100, 868, 7378, 62764, 534352, 4549684, 38737252, 329817976, 2808146488, 23909211472, 203568584872, 1733230255168, 14757125302768, 125645595288400, 1069775806044208, 9108319894356832, 77550352914336256, 660281732184575104
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OFFSET

1,1


COMMENTS

Column 3 of A224012.


LINKS

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


FORMULA

Empirical: a(n) = 10*a(n1)  16*a(n2) + 30*a(n3)  14*a(n4) + 12*a(n5).
Empirical g.f.: 2*x*(5 + 14*x^2  x^3 + 6*x^4) / (1  10*x + 16*x^2  30*x^3 + 14*x^4  12*x^5).  Colin Barker, Aug 26 2018


EXAMPLE

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


CROSSREFS

Cf. A224012.
Sequence in context: A218269 A224348 A213298 * A136876 A231157 A231163
Adjacent sequences: A224004 A224005 A224006 * A224008 A224009 A224010


KEYWORD

nonn


AUTHOR

R. H. Hardin, Mar 30 2013


STATUS

approved



