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Tenth 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.
3

%I #7 Dec 02 2014 21:34:01

%S 0,47160,1654560,3023640,66712680,42409440,77899320,37616880,

%T 794577600,378764280,198832320,388596960,186471480,656793720,

%U 286674960,233086920,116392080,5150502360,2322426960,1115748360,1730294280,894687600,909774720,480592200,2069616960

%N Tenth 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="/A215840/b215840.txt">Table of n, a(n) for n = 1..7813</a>

%p # load programs from A215703, then:

%p seq(A(10, n), n=1..100);

%Y Row n=10 of A215703.

%Y Cf. A000081, A087803.

%K nonn

%O 1,2

%A _Alois P. Heinz_, Aug 24 2012