A275005 a(n) = f_n(2), with f_0(x) = x+5, f_n+1(x) = (f_n)^x(x).

7, 12, 72, 7659889842507589786155370254176860349292085605349868961792

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[5]_n(x). See A275000 for details and definitions and formulae.

Links

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

Formula

.

Mathematica

f[0, x_] := x + 5; 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)), A275006(F[6]_n(x)), A275009(F[k]_n(2)).

Sequence in context: A119179 A121983 A177169 * A298678 A219777 A157808

Adjacent sequences: A275002 A275003 A275004 * A275006 A275007 A275008

Keyword

nonn

Author

Natan Arie Consigli, Nov 09 2016

Status

approved