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A385970 a(n) is the minimum number of powers needed to obtain the n-th term of sequence A385969.

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%I A385970 #15 Aug 12 2025 08:22:24
%S A385970 1,2,1,2,2,2,3,3,3,2,3,3,2,3,3,2,4,3,4,4,1,2,3,3,2,3,3,3,2,4,4,3,4,3,
%T A385970 2,3,4,4,4,4,3,4,4,4,3,4,4,4,4,3,2,4,3,3,4,3,4,4,5,4,4,4,4,3,3,5,5,4,
%U A385970 3,4,4,4,4,3,4,5,2,3,4,4,5,4,4,5,4,4,3,4,5,4,2,4,3,5,4,5
%N A385970 a(n) is the minimum number of powers needed to obtain the n-th term of sequence A385969.
%C A385970 The sequence is unbounded (conjectured).
%e A385970 a(1) = 1, as  4 = 2^2
%e A385970 a(2) = 2, as 17 = 2^3 + 3^2
%e A385970 a(3) = 1, as 27 = 3^3
%e A385970 a(4) = 2, as 31 = 2^2 + 3^3
%e A385970 a(7) = 3, as 59 = 2^4 + 3^3 + 4^2
%Y A385970 Cf. A385969, A385232, A385233.
%K A385970 nonn
%O A385970 1,2
%A A385970 _Alberto Zanoni_, Jul 14 2025