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A386290 a(1) = a(2) = 1, and for n > 2, a(n) is the unique k such that A256590(n) = A000120(A256590(n))^k.

%I A386290 #9 Jul 19 2025 18:15:00
%S A386290 1,1,4,4,5,5,6,5,8,8,8,10,10,10,11,12,13,15,13,16,17,14,17,19,18,18,
%T A386290 19,26,20,23,23,23,26,26,25,25,27,27,35,30,31,31,31,32,33,34,34,35,33,
%U A386290 39,35,36,40,38,39,40,42,42,43,42,51,44,47,44,59,47,50,48
%N A386290 a(1) = a(2) = 1, and for n > 2, a(n) is the unique k such that A256590(n) = A000120(A256590(n))^k.
%H A386290 Rémy Sigrist, <a href="/A386290/b386290.txt">Table of n, a(n) for n = 1..3898</a>
%H A386290 Rémy Sigrist, <a href="/A386290/a386290.gp.txt">PARI program</a>
%F A386290 A256590(n) = A386289(n)^a(n).
%e A386290 For n = 8: A256590(8) = 59049 = 9^5 = A000120(59049)^5, so a(8) = 5.
%o A386290 (PARI) \\ See Links section.
%Y A386290 Cf. A000120, A256590, A386248, A386289.
%K A386290 nonn,base
%O A386290 1,3
%A A386290 _Rémy Sigrist_, Jul 17 2025