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Sixth 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.
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%I #8 Oct 31 2014 21:38:23

%S 0,54,1188,954,8322,4908,5034,2934,31776,17742,10428,13968,8688,15174,

%T 8814,6714,4374,87990,50496,29682,35382,24042,22008,14928,31968,20268,

%U 14988,10848,34974,21474,13314,15114,10974,13014,8874,6534,5094,200244,120330,72456

%N Sixth 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.

%C For the ordering of functions f_n see A215703.

%H Alois P. Heinz, <a href="/A215836/b215836.txt">Table of n, a(n) for n = 1..7813</a>

%p # load programs from A215703, then:

%p seq(A(6, n), n=1..100);

%Y Row n=6 of A215703.

%Y Number of distinct values of a(n) taken for functions with m x's: A199883.

%Y Cf. A000081, A087803.

%K nonn

%O 1,2

%A _Alois P. Heinz_, Aug 24 2012