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

1, 1, 2, 21, 152, 1360, 15174, 184296, 2538584, 39097296, 656793720, 12021152616, 237610299288, 5033625978576, 113810068532328, 2733480292962600, 69463846973884800, 1861656629684769600, 52458209090931835584, 1549997983761108724224, 47908467697220966937600

Offset: 0

Author

Alois P. Heinz, Aug 21 2012

Keywords

• nonn

Comments

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

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..400

Crossrefs

Column k=14 of A215703.

Cf. A005727, A179230, A179405, A215524.

Programs

Maple

a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^3)) ), x, n+1), x, n):
seq(a(n), n=0..25);

Formula

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