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%I #20 Jun 04 2021 22:09:49
%S 2,2,4,3,2,3,4,5,4,3,5,4,10,8,7,5,4,7,16,5,8,3,11,10,6,5,4,9,8,6,28,9,
%T 12,11,8,5,6,20,19,9,12,7,40,13,11,10,23,22,8,7,20,9,16,19,12,5,4,19,
%U 29,28,58,32,31,9,6,13,12,21,24,15,35,9,70,38,37,20,8,7,13,17,10,9,41,40,18,17,16,29,28,10,15,13,32
%N Least k > 1 such that (n^3+k)/(n+k) is an integer.
%H Seiichi Manyama, <a href="/A341902/b341902.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) <= n-2 for all n > 3.
%t a[n_] := Module[{k = 2}, While[! Divisible[n^3 + k, n + k], k++]; k]; Array[a, 100, 0] (* _Amiram Eldar_, Jun 04 2021 *)
%o (PARI) a(n) = my(k=2); while((n^3+k)%(n+k)!=0, k++); k;
%Y Cf. A301941, A341889.
%K nonn
%O 0,1
%A _Seiichi Manyama_, Jun 04 2021
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