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A380656 a(n) is the number of divisors d such that -d^n mod n = d.

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%I A380656 #19 Feb 05 2025 21:59:33
%S A380656 0,1,0,0,0,2,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,2,0,0,0,1,
%T A380656 1,0,0,1,0,0,0,3,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,2,0,1,0,0,0,4,0,0,
%U A380656 0,4,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,2,1,1,0,1,0,1,0,1,0,0
%N A380656 a(n) is the number of divisors d such that -d^n mod n = d.
%t A380656 a[n_] := DivisorSum[n, 1 &, Mod[-PowerMod[#, n, n], n] == # &]; Array[a, 100] (* _Amiram Eldar_, Feb 04 2025 *)
%o A380656 (Magma) [#[d: d in Divisors(n) | -d^n mod n eq d]: n in [1..100]];
%Y A380656 Cf. A000005, A371883.
%K A380656 nonn
%O A380656 1,6
%A A380656 _Juri-Stepan Gerasimov_, Feb 03 2025