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A215704 n-th derivative of ((x^x)^x)^x at x=1. 5

%I #13 Sep 22 2015 10:02:53

%S 1,1,6,27,156,1110,8322,70098,646272,6333336,66712680,745731360,

%T 8780828328,108873486072,1413807287760,19157627737080,270460073295360,

%U 3965693824244160,60266513065134528,947644484349584448,15389579447794454400,257702782790624613120

%N n-th derivative of ((x^x)^x)^x at x=1.

%C Also n-th derivative of x^(x^3) at x=1.

%C First term < 0: a(57).

%H Alois P. Heinz, <a href="/A215704/b215704.txt">Table of n, a(n) for n = 0..400</a>

%F E.g.f.: (x+1)^((x+1)^3).

%p a:= n-> n!*coeff(series(subs(x=x+1, ((x^x)^x)^x ), x, n+1), x, n):

%p seq(a(n), n=0..25);

%Y Column k=5 of A215703.

%Y Cf. A005727, A179230, A179405, A215524.

%K sign

%O 0,3

%A _Alois P. Heinz_, Aug 21 2012

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)