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

1,9

Links

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

Index entries for sequences related to sigma(n)

Formula

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

Prog

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

Crossrefs

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

Cf. also A175548, A336692, A337198.

Sequence in context: A251482 A357477 A172083 * A344879 A090189 A227141

Adjacent sequences: A337196 A337197 A337198 * A337200 A337201 A337202

Keyword

nonn

Author

Antti Karttunen, Aug 20 2020

Status

approved