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Records in A393684.
1

%I #14 Feb 27 2026 21:01:00

%S 71,843,8335,77459,704727,6365659,57360671,516455715,4648730983,

%T 41840468075,376569881007

%N Records in A393684.

%C Conjecture: these records occur at indices (3^n - 1)/2 = A003462(n); that is, they correspond to all 1's ternary inputs on the tape.

%H Stephen Wolfram, <a href="https://writings.stephenwolfram.com/2026/01/p-vs-np-and-the-difficulty-of-computation-a-ruliological-approach/">P vs. NP and the Difficulty of Computation: A Ruliological Approach</a>, 2026.

%t lim = 2^12, len = 2^32}, s = PacletSymbol["WolframInstitute/TuringMachine", "OneSidedTuringMachineFunction"][{840971, 2, 3}, {1, lim}, len, "Steps"]; Union@ FoldList[Max, s] (* _Michael De Vlieger_, Feb 25 2026 *)

%Y Cf. A393684, A393688.

%K nonn,more

%O 1,1

%A _Sean A. Irvine_, Feb 24 2026