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John M. Campbell, <a href="https://arxiv.org/abs/2403.20073">A binary version of the Mahler-Popken complexity function</a>, arXiv:2403.20073 [math.NT], 2024. See pp. 5-6.
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a(2^n) = n. - R. J. Mathar, Mar 03 2022
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a[n_] := a[n] = If[n == 1, 0, With[{m = Log2[n]}, If[IntegerQ[m], m,
1 + Min[a[n-#]& /@ Most[Divisors[n]]]]]];
Table[a[n], {n, 1, 105}] (* Jean-François Alcover, Aug 05 2022 *)
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