A318445 a(n) = Sum_{d|n, dA005187(d).

0, 1, 1, 4, 1, 8, 1, 11, 5, 12, 1, 25, 1, 15, 13, 26, 1, 34, 1, 37, 16, 23, 1, 62, 9, 27, 21, 47, 1, 70, 1, 57, 24, 36, 20, 97, 1, 39, 28, 90, 1, 93, 1, 71, 55, 46, 1, 139, 12, 77, 37, 83, 1, 118, 28, 115, 40, 58, 1, 193, 1, 61, 71, 120, 32, 142, 1, 109, 47, 133, 1, 228, 1, 75, 86, 119, 31, 164, 1, 199, 71, 83, 1, 256, 41

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, A293214, A293447, A318446, A318447.

Programs

PARI

A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
A318445(n) = sumdiv(n,d,(dA005187(d));

Formula

a(n) = Sum_{d|n, dA005187(d).

a(n) = A318446(n) - A005187(n).

a(n) = A211779(n) + A318447(n).

a(n) = A293447(A293214(n)).