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A380833 a(n) is the number of divisors d of n satisfying (-d)^n mod n = d.

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%I A380833 #18 Feb 06 2025 12:28:35
%S A380833 0,1,0,1,0,2,0,1,0,2,0,2,0,2,1,1,0,2,0,2,0,2,0,1,0,2,0,2,0,4,0,1,0,2,
%T A380833 1,2,0,2,0,1,0,3,0,1,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,1,0,2,0,1,0,4,0,2,
%U A380833 0,2,0,2,0,2,0,1,0,3,0,2,0,2,0,3,0,2,0,1,0,3,1,1,0,2,0,1,0,2,0,2
%N A380833 a(n) is the number of divisors d of n satisfying (-d)^n mod n = d.
%t A380833 a[n_] := DivisorSum[n, 1 &, PowerMod[-#, n, n] == # &]; Array[a, 100] (* _Amiram Eldar_, Feb 06 2025 *)
%o A380833 (Magma) [#[d: d in Divisors(n) | (-d)^n mod n eq d]: n in [1..100]];
%Y A380833 Cf. A000005, A371883, A380656.
%K A380833 nonn
%O A380833 1,6
%A A380833 _Juri-Stepan Gerasimov_, Feb 06 2025