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%I #14 Jan 20 2020 12:54:18
%S 1,3,5,2,4,9,3,7,9,13,15,8,16,14,19,5,20,21,13,22,17,25,4,10,27,16,18,
%T 29,24,33,31,35,4,39,8,39,36,20,22,41,42,28,44,46,7,13,19,47,48,38,46,
%U 49,40,50,48,33,39,2,6,8,12,56,26,52,62,63,58,23,64,31
%N a(n) is the least positive k such that A100273(n) - k^3 is a fifth power.
%H Rémy Sigrist, <a href="/A331526/b331526.txt">Table of n, a(n) for n = 1..10000</a>
%H Rémy Sigrist, <a href="/A331526/a331526_1.gp.txt">PARI program for A331526</a>
%e The first terms, alongside A100273(n), are:
%e n a(n) A100273(n)
%e -- ---- -----------------
%e 1 1 2 = 1^3 + 1^5
%e 2 3 59 = 3^3 + 2^5
%e 3 5 157 = 5^3 + 2^5
%e 4 2 251 = 2^3 + 3^5
%e 5 4 307 = 4^3 + 3^5
%e 6 9 761 = 9^3 + 2^5
%e 7 3 1051 = 3^3 + 4^5
%e 8 7 1367 = 7^3 + 4^5
%e 9 9 1753 = 9^3 + 4^5
%e 10 13 3221 = 13^3 + 4^5
%o (PARI) See Links section.
%Y See A331435 for similar sequences.
%Y Cf. A000584, A100273.
%K nonn
%O 1,2
%A _Rémy Sigrist_, Jan 19 2020