A378653 - OEIS

%I #10 Dec 04 2024 10:16:54

%S 0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,2,0,0,0,20,0,0,0,0,0,12,0,0,0,

%T 0,0,36,0,0,0,14,0,12,0,0,0,0,0,68,0,0,0,0,0,20,0,8,0,0,0,84,0,0,0,0,

%U 0,12,0,0,0,4,0,156,0,0,0,0,0,12,0,54,0,0,0,88,0,0,0,4,0,86,0,0,0,0,0,196,0,0,0,22,0,12,0,2,0

%N a(n) = A378648(n) - sigma(n).

%H Antti Karttunen, <a href="/A378653/b378653.txt">Table of n, a(n) for n = 1..20000</a>

%F a(n) = A378648(n) - A000203(n).

%F a(n) = Sum_{d|n} A378650(d).

%o (PARI) A378653(n) = (A378648(n) - sigma(n));

%Y Inverse Möbius transform of A378650.

%Y Cf. A000203, A378648.

%Y Cf. A005101 (positions of nonzero terms), A263837 (of 0's).

%K nonn

%O 1,12

%A _Antti Karttunen_, Dec 03 2024