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A073236
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Pi^Pi^...^Pi (n times) rounded to nearest integer.
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3
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OFFSET
| 0,2
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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 analogue of A004002, which deals with e.
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FORMULA
| a(n) = round(Pi^Pi^...^Pi), where Pi occurs n times, a(0) = 1 (=Pi^0).
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PROG
| (PARI) p=0; for(n=0, 3, p=Pi^p; print1(round(p), ", ")) n=4 produces too large an exponent for PARI.
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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: A088322 A080807 A006268 * A002563 A140448 A128061
Adjacent sequences: A073233 A073234 A073235 * A073237 A073238 A073239
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KEYWORD
| nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 25 2002
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