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%I #5 Aug 07 2019 11:35:45
%S 1,5,10,2095,5623,13589,14047,19519,21143,154249
%N Numbers k such that A001414(k^4+1) is divisible by k.
%e 10 is in the sequence because the prime factorization of 10^4+1=10001 is 73*137 and 73+137=210 is divisible by 10.
%p filter:= proc(n) local F, t, y;
%p F:= ifactors(n^4+1)[2];
%p y:= add(t[1]*t[2], t=F);
%p y mod n = 0
%p end proc:
%p select(filter, [$1..200000]);
%Y Cf. A001414, A309534, A309542, A309544.
%K nonn,more
%O 1,2
%A _J. M. Bergot_ and _Robert Israel_, Aug 07 2019