A324045 a(n) = A000010(n) - A106316(n).

1, 0, 0, 1, 0, 2, 0, 2, 5, 0, 0, 0, 0, -2, -4, 6, 0, -6, 0, -8, -8, -6, 0, -4, 7, -8, 17, 12, 0, -16, 0, 13, 17, -12, 15, -3, 0, -14, 19, 6, 0, 6, 0, 8, -12, -18, 0, 4, 9, -1, 23, 6, 0, 0, 36, -8, 25, -24, 0, -32, 0, -26, 33, 29, 40, -10, 0, 2, 29, -34, 0, 12, 0, -32, 37, 0, 40, -18, 0, -24, 12, -36, 0, -4, 48, -38, 35, -36, 0, -30, 44, -4, 37, -42, 52, -16, 0

Offset: 1

Author

Antti Karttunen, Feb 13 2019

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Cf. A000005, A000010, A000203, A106316, A324046, A324047.

Programs

PARI

A106315(n) = (n*numdiv(n) % sigma(n));
A106316(n) = (A106315(n) % n);
A324045(n) = (eulerphi(n) - A106316(n));

Formula

a(n) = A000010(n) - A106316(n).