cp's OEIS Frontend

A331522 a(n) is the least positive k such that A078523(n) - k^2 is a sixth power.

%I A331522 #13 Jan 20 2020 12:53:38
%S A331522 1,2,4,6,3,5,10,7,14,13,16,17,20,24,23,26,2,10,20,33,22,35,36,37,40,
%T A331522 32,43,45,47,54,55,56,50,57,52,58,9,11,65,66,19,25,29,73,74,75,45,84,
%U A331522 55,80,59,61,90,93,94,71,97,75,98,79,81,100,85,110,91,110,95
%N A331522 a(n) is the least positive k such that A078523(n) - k^2 is a sixth power.
%H A331522 Rémy Sigrist, <a href="/A331522/b331522.txt">Table of n, a(n) for n = 1..10000</a>
%H A331522 Rémy Sigrist, <a href="/A331522/a331522.gp.txt">PARI program for A331522</a>
%e A331522 The first terms, alongside A078523(n), are:
%e A331522   n   a(n)  A078523(n)
%e A331522   --  ----  ----------------
%e A331522    1     1    2 =  1^2 + 1^6
%e A331522    2     2    5 =  2^2 + 1^6
%e A331522    3     4   17 =  4^2 + 1^6
%e A331522    4     6   37 =  6^2 + 1^6
%e A331522    5     3   73 =  3^2 + 2^6
%e A331522    6     5   89 =  5^2 + 2^6
%e A331522    7    10  101 = 10^2 + 1^6
%e A331522    8     7  113 =  7^2 + 2^6
%e A331522    9    14  197 = 14^2 + 1^6
%e A331522   10    13  233 = 13^2 + 2^6
%o A331522 (PARI) See Links section.
%Y A331522 See A331435 for similar sequences.
%Y A331522 Cf. A001014, A078523.
%K A331522 nonn
%O A331522 1,2
%A A331522 _Rémy Sigrist_, Jan 19 2020