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A073236 Pi^Pi^...^Pi (n times) rounded to nearest integer. 6
1, 3, 36, 1340164183006357435 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Decimal expansions (before rounding) of Pi (A000796), Pi^Pi (A073233) and Pi^Pi^Pi (A073234) correspond to a(1), a(2) and a(3), respectively. All four terms are equivalent if floor is used instead of round. See A073237 for same sequence but using ceiling. This sequence is the analog of A004002, which deals with e.

LINKS

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

FORMULA

a(n) = round(Pi^Pi^...^Pi), where Pi occurs n times, a(0) = 1 (=Pi^0).

MATHEMATICA

Round[NestList[Power[Pi, #] &, 1, 3]] (* Alonso del Arte, Jul 02 2014 *)

PROG

(PARI) p=0; for(n=0, 3, p=Pi^p; print1(round(p), ", ")) \\ n = 4 produces too large an exponent for PARI.

CROSSREFS

Cf. A000796 (Pi), A073233 (Pi^Pi), A073234 (Pi^Pi^Pi), A073237 (Ceiling of Pi^Pi^...^Pi, n times), A004002 (Benford numbers).

Sequence in context: A006268 A264842 A210508 * A002563 A140448 A128061

Adjacent sequences:  A073233 A073234 A073235 * A073237 A073238 A073239

KEYWORD

nonn

AUTHOR

Rick L. Shepherd, Jul 25 2002

STATUS

approved

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Last modified October 14 15:02 EDT 2019. Contains 328019 sequences. (Running on oeis4.)