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%I #13 Aug 22 2023 11:57:36
%S 1,4,37,1340164183006357436
%N a(n) = ceiling(Pi^Pi^...^Pi), where Pi appears n times.
%C 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).
%C a(4) has 666262452970848504 digits. - _Martin Renner_, Aug 19 2023
%F a(n) = ceiling(Pi^Pi^...^Pi), where Pi occurs n times, a(0) = 1 (=Pi^0).
%o (PARI) p=0; for(n=0,3, p=Pi^p; print1(ceil(p),",")) \\ n=4 produces too large an exponent for PARI.
%Y 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).
%K nonn
%O 0,2
%A _Rick L. Shepherd_, Jul 25 2002
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