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A073237
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a(n) = ceiling(Pi^Pi^...^Pi), where Pi appears n times.
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2
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OFFSET
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0,2
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COMMENTS
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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).
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LINKS
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FORMULA
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a(n) = ceiling(Pi^Pi^...^Pi), where Pi occurs n times, a(0) = 1 (=Pi^0).
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PROG
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(PARI) p=0; for(n=0, 3, p=Pi^p; print1(ceil(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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