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Search: id:A073237
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| A073237 |
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Ceiling of Pi^Pi^...^Pi (n times). |
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+0
3
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OFFSET
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0,2
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COMMENT
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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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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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PROGRAM
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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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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: A084283 A133471 A027461 this_sequence A020205 A003633 A129310
Adjacent sequences: A073234 A073235 A073236 this_sequence A073238 A073239 A073240
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 25 2002
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