A318446 Inverse Möbius transform of A005187: a(n) = Sum_{d|n} A005187(d).

1, 4, 5, 11, 9, 18, 12, 26, 21, 30, 20, 47, 24, 40, 39, 57, 33, 68, 36, 75, 55, 64, 43, 108, 56, 76, 71, 100, 55, 126, 58, 120, 88, 102, 87, 167, 72, 112, 102, 168, 80, 174, 83, 156, 141, 134, 90, 233, 107, 174, 135, 184, 103, 222, 133, 224, 150, 170, 114, 309, 118, 180, 191, 247, 160, 272, 132, 243, 182, 270, 139, 370, 144

Offset: 1

Author

Antti Karttunen, Aug 26 2018

Keywords

• nonn

Links

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

Crossrefs

Cf. A005187, A318445.

Cf. also A297111, A300244.

Programs

PARI

A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
A318446(n) = sumdiv(n,d,A005187(d));

Formula

a(n) = Sum_{d|n} A005187(d).

a(n) = A005187(n) + A318445(n).

a(n) = A318448(n) + A007429(n).