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%I #14 Mar 09 2023 02:09:25
%S 1,6,13,19,21,62,64,83,94,112,120,142,144,301,306,311,322,338,357
%N Number of steps where the modified Juggler sequence reaches a new record (A095910).
%C The modified Juggler sequence: begin with x and if x is even, round(sqrt(x)) -> x and if x is odd, round(sqrt(x3)) -> x and repeat until x = 1, count the iterations.
%C The records A094696 and A095911 are probably the same sequence. - _R. J. Mathar_, Jul 28 2007
%t mjs[n_] := If[ EvenQ[n], Round[ Sqrt[n]], Round[ Sqrt[n^3]]];; f[n_] := Length[ NestWhileList[mjs, n, # != 1 &]] - 1; a = {0}; Do[ b = f[n]; If[b >a[[ -1]] AppendTo[a, b]; Print[n]], {n, 250000}]
%Y Cf. A007321, A095909, A095910.
%K nonn,more
%O 1,2
%A _Robert G. Wilson v_, Jun 14 2004
%E a(16)-a(19) from _Chai Wah Wu_, Aug 18 2016