

A215842


Third derivative of f_n at x=1, where f_n is the nth of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.


3



0, 3, 12, 9, 27, 18, 15, 9, 48, 33, 24, 24, 18, 21, 15, 9, 9, 75, 54, 39, 39, 33, 30, 24, 30, 24, 18, 18, 27, 21, 15, 15, 15, 9, 9, 9, 9, 108, 81, 60, 45, 60, 54, 45, 39, 36, 30, 24, 45, 39, 33, 33, 36, 30, 24, 24, 36, 30, 24, 24, 24, 18, 18, 18, 18, 33, 27
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OFFSET

1,2


COMMENTS

For the ordering of functions f_n see A215703.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..7813
D. Birmajer, J. B. Gil, M. D. Weiner, Colored partitions of a convex polygon by noncrossing diagonals, arXiv preprint arXiv:1503.05242 [math.CO], 2015.


MAPLE

# load programs from A215703, then:
seq(A(3, n), n=1..100);


CROSSREFS

Row n=3 of A215703.
Number of distinct values of a(n) taken for functions with m x's: A199085.
Cf. A000081, A087803.
Sequence in context: A060035 A165988 A298028 * A018876 A038230 A292581
Adjacent sequences: A215839 A215840 A215841 * A215843 A215844 A215845


KEYWORD

nonn


AUTHOR

Alois P. Heinz, Aug 24 2012


STATUS

approved



