A215842 Third derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.

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

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,look

Author

Alois P. Heinz, Aug 24 2012

Status

approved