A323154 a(n) = 1 if n divides A048146(n) = (sigma(n)-usigma(n)), 0 otherwise.

1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0

Offset

1

Comments

Characteristic function of A064594.

a(n) = 1 if and only if n divides A048146(n) = (A000203(n) - A034448(n)).

Differs from A008966 at n = 24, 112, 1984, 2520, 31320, 32512, ... (A064595).

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for characteristic functions

Prog

(PARI)
A034448(n) = { my(f=factorint(n)); prod(k=1, #f~, 1+(f[k, 1]^f[k, 2])); }; \\ After code in A034448
A323154(n) = !((sigma(n)-A034448(n))%n);

Crossrefs

Cf. A000203, A008966, A034448, A048146, A064594, A064595.

Sequence in context: A353559 A253206 A133639 * A060038 A197774 A219009

Adjacent sequences: A323151 A323152 A323153 * A323155 A323156 A323157

Keyword

nonn

Author

Antti Karttunen, Jan 09 2019

Status

approved