A073233 Decimal expansion of Pi^Pi.

3, 6, 4, 6, 2, 1, 5, 9, 6, 0, 7, 2, 0, 7, 9, 1, 1, 7, 7, 0, 9, 9, 0, 8, 2, 6, 0, 2, 2, 6, 9, 2, 1, 2, 3, 6, 6, 6, 3, 6, 5, 5, 0, 8, 4, 0, 2, 2, 2, 8, 8, 1, 8, 7, 3, 8, 7, 0, 9, 3, 3, 5, 9, 2, 2, 9, 3, 4, 0, 7, 4, 3, 6, 8, 8, 8, 1, 6, 9, 9, 9, 0, 4, 6, 2, 0, 0, 7, 9, 8, 7, 5, 7, 0, 6, 7, 7, 4, 8, 5, 4, 3, 6, 8, 1

Offset

2,1

Comments

A weak form of Schanuel's Conjecture implies that Pi^Pi is transcendental--see Marques and Sondow (2012).

Links

Harry J. Smith, Table of n, a(n) for n = 2..20000

D. Marques and J. Sondow, The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture, arXiv:1212.6931 [math.NT], 2012-2013.

Example

36.4621596072079117709908260226...

Mathematica

RealDigits[N[Pi^Pi, 200]] (* Vladimir Joseph Stephan Orlovsky, May 27 2010 *)

Prog

(PARI) Pi^Pi
(PARI) { default(realprecision, 20080); x=Pi^Pi/10; for (n=2, 20000, d=floor(x); x=(x-d)*10; write("b073233.txt", n, " ", d)); } \\ Harry J. Smith, Apr 30 2009]

Crossrefs

Cf. A000796 (Pi), A073234 (Pi^Pi^Pi), A073237 (ceil(Pi^Pi^...^Pi), n Pi's), A073238 (Pi^(1/Pi)), A073239 ((1/Pi)^Pi), A073240 ((1/Pi)^(1/Pi)), A073243 (limit of (1/Pi)^(1/Pi)^...^(1/Pi)), A073236 (Pi analog of A004002).

Cf. A073226 (e^e).

Cf. A049006 (i^i), A116186 (real part of i^i^i).

Cf. A194555 (real part of i^e^Pi).

Sequence in context: A249032 A251534 A364665 * A011287 A090963 A112374

Adjacent sequences: A073230 A073231 A073232 * A073234 A073235 A073236

Keyword

cons,nonn

Author

Rick L. Shepherd, Jul 21 2002

Status

approved