cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A215710 n-th derivative of x^(((x^x)^x)^x) at x=1.

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%I A215710 #11 Sep 22 2015 10:17:17
%S A215710 1,1,2,21,152,1360,15174,184296,2538584,39097296,656793720,
%T A215710 12021152616,237610299288,5033625978576,113810068532328,
%U A215710 2733480292962600,69463846973884800,1861656629684769600,52458209090931835584,1549997983761108724224,47908467697220966937600
%N A215710 n-th derivative of x^(((x^x)^x)^x) at x=1.
%C A215710 Also n-th derivative of x^(x^(x^3)) at x=1.
%H A215710 Alois P. Heinz, <a href="/A215710/b215710.txt">Table of n, a(n) for n = 0..400</a>
%F A215710 E.g.f.: (x+1)^((x+1)^((x+1)^3)).
%p A215710 a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^3)) ), x, n+1), x, n):
%p A215710 seq(a(n), n=0..25);
%Y A215710 Column k=14 of A215703.
%Y A215710 Cf. A005727, A179230, A179405, A215524.
%K A215710 nonn
%O A215710 0,3
%A A215710 _Alois P. Heinz_, Aug 21 2012