A337195 The 2-adic valuation of 1+A000265(sigma(n)), where A000265 gives the odd part.

1, 2, 1, 3, 2, 2, 1, 4, 1, 1, 2, 3, 3, 2, 2, 5, 1, 3, 1, 1, 1, 1, 2, 4, 5, 1, 1, 3, 4, 1, 1, 6, 2, 2, 2, 2, 2, 4, 3, 1, 1, 2, 2, 1, 3, 1, 2, 5, 1, 1, 1, 1, 2, 4, 1, 4, 1, 1, 4, 1, 5, 2, 1, 7, 1, 1, 1, 6, 2, 1, 1, 2, 1, 1, 5, 2, 2, 1, 1, 1, 1, 6, 1, 3, 2, 1, 4, 1, 1, 1, 3, 1, 1, 1, 4, 6, 1, 2, 3, 1, 2, 2, 1, 1, 2

Offset

1,2

Links

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

Index entries for sequences related to sigma(n)

Formula

a(n) = A007814(A337194(n)) = A007814(1+A000265(A000203(n))).

Prog

(PARI)
A007814(n) = valuation(n, 2);
A000265(n) = (n>>A007814(n));
A337195(n) = A007814(1+A000265(sigma(n)));

Crossrefs

Cf. A000203, A000265, A007814, A161942, A336698, A337194, A337196.

Sequence in context: A072339 A342507 A261337 * A368544 A260088 A364969

Adjacent sequences: A337192 A337193 A337194 * A337196 A337197 A337198

Keyword

nonn

Author

Antti Karttunen, Aug 18 2020

Status

approved