A160814 a(1) = 1; a(n+1) = a(n)^n + n^a(n).

1, 2, 8, 7073

Offset

1,2

Comments

Next term is too large to display: 2.3459495195697547514*10^4258

The next term (a(5)) has 4259 digits. - Harvey P. Dale, Jul 18 2021

Links

Table of n, a(n) for n=1..4.

Mathematica

a=1; lst={}; Do[a=a^n+n^a; AppendTo[lst, IntegerPart[a]], {n, 0, 4}]; lst
nxt[{n_, a_}] := {n + 1, a^n + n^a}; NestList[nxt, {1, 1}, 4][[All, 2]] (* Harvey P. Dale, Jul 18 2021 *)

Crossrefs

Cf. A093898, A055652, A076980. - R. J. Mathar, May 29 2009

Sequence in context: A135238 A133376 A179056 * A038582 A309860 A058437

Adjacent sequences: A160811 A160812 A160813 * A160815 A160816 A160817

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 26 2009

Extensions

Edited by N. J. A. Sloane, May 29 2009

Status

approved