A337199 Binary weight of A337194(n) = 1+A000265(sigma(n)), where A000265(k) gives the odd part of k.

1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 3, 1, 4, 2, 1, 1, 4, 3, 1, 2, 3, 2, 2, 1, 1, 4, 5, 2, 3, 3, 1, 2, 1, 2, 4, 1, 3, 1, 1, 3, 1, 3, 2, 2, 1, 1, 2, 2, 3, 3, 4, 1, 2, 1, 3, 2, 5, 5, 1, 3, 1, 3, 2, 1, 4, 4, 5, 1, 3, 1, 2, 1, 1, 3, 4, 2, 5, 3, 3, 3, 4, 1

Offset: 1

Author

Antti Karttunen, Aug 20 2020

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000120, A000203, A000265, A161942, A336698, A337194.

Cf. also A175548, A336692, A337198.

Programs

PARI

A000265(n) = (n>>valuation(n,2));
A337199(n) = (hammingweight(1+A000265(sigma(n))));

Formula

a(n) = A000120(A337194(n)) = A000120(A336698(n)).