A383106 Numbers k such that A382883(k) != 0.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 46, 47, 49, 51, 53, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 69, 70, 71, 73, 74, 77, 78, 79, 82, 83, 85, 86, 87, 89, 91, 93, 94, 95, 97, 100

Offset: 1

Author

Peter Luschny, Apr 16 2025

Keywords

• nonn

Comments

See the comments in A382883.

Crossrefs

Cf. A382883, A382943 (complement), A383016, A383017.

Cf. A005117 and similars: A062770, A072774, A085924, A242414, A304449.

Programs

Mathematica

V[n_, e_] := If[e == 1, 1, IntegerExponent[n, e]]; f[n_] := f[n] = -DivisorSum[n, V[n, #] * f[#] &, # < n &]; f[1] = 1; Select[Range[100], f[#] != 0 &] (* Amiram Eldar, Apr 29 2025 *)

SageMath

def A383106List(upto): return [n for n in srange(1, upto) if A382883(n) != 0]