A275006 a(n) = f_n(2), with f_0(x) = x+6, f_n+1(x) = (f_n)^x(x).

8, 14, 98, 6468953019249515982689295538200433621714406397809250801867790662783382919273856120002

Offset

0,1

Comments

Next term is too large to include.

This function is a particular instance of the fast-iteration hierarchy function F[k]_n(x). Here we have f_n(x) = F[6]_n(x). See A275000 for details and definitions and formulae.

Links

Table of n, a(n) for n=0..3.

Mathematica

f[0, x_] := x + 6; f[n_, x_] := Nest[f[n - 1, # ]&, x, x]; Table[f[n, 2], {n, 0, 3}]

Crossrefs

Cf. A154714(F[1]_n(2)), A275002(F[n]_3(2)), A275003(F[3]_n(x)), A275004(F[4]_n(x)), A275005(F[5]_n(x)), A275009(F[k]_n(2)).

Sequence in context: A050582 A128451 A177170 * A219778 A180756 A279708

Adjacent sequences: A275003 A275004 A275005 * A275007 A275008 A275009

Keyword

nonn

Author

Natan Arie Consigli, Nov 09 2016

Status

approved