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A073237
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Ceiling of Pi^Pi^...^Pi (n times).
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2
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OFFSET
| 0,2
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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).
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FORMULA
| a(n) = ceiling(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(ceil(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), A073236 (Pi^Pi^...^Pi, n times, rounded), A004002 (Benford numbers), A056072 (similar to A004002 but takes floor).
Sequence in context: A183509 A027461 A144991 * A020205 A003633 A129310
Adjacent sequences: A073234 A073235 A073236 * A073238 A073239 A073240
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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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