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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 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.)