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A073236
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Pi^Pi^...^Pi (n times) rounded to nearest integer.
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6
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OFFSET
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0,2
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COMMENTS
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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.
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LINKS
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FORMULA
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a(n) = round(Pi^Pi^...^Pi), where Pi occurs n times, a(0) = 1 (=Pi^0).
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MATHEMATICA
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PROG
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(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
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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