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A073237 a(n) = ceiling(Pi^Pi^...^Pi), where Pi appears n times. 2
1, 4, 37, 1340164183006357436 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Decimal expansions (before taking ceiling) of Pi (A000796), Pi^Pi (A073233) and Pi^Pi^Pi (A073234) correspond to a(1), a(2) and a(3), respectively. See A073236 for same sequence rounded to nearest integer. This sequence is similar to A004002, which deals with e (but rounds).

LINKS

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

FORMULA

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

PROG

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

CROSSREFS

Cf. A000796 (Pi), A073233 (Pi^Pi), A073234 (Pi^Pi^Pi), A073236 (Pi^Pi^...^Pi, n times, rounded), A004002 (Benford numbers), A056072 (similar to A004002 but takes floor).

Sequence in context: A280219 A027461 A144991 * A218334 A121672 A020205

Adjacent sequences:  A073234 A073235 A073236 * A073238 A073239 A073240

KEYWORD

nonn

AUTHOR

Rick L. Shepherd, Jul 25 2002

STATUS

approved

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Last modified July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)