A099550 Odd part of n modulo 9.

1, 1, 3, 1, 5, 3, 7, 1, 0, 5, 2, 3, 4, 7, 6, 1, 8, 0, 1, 5, 3, 2, 5, 3, 7, 4, 0, 7, 2, 6, 4, 1, 6, 8, 8, 0, 1, 1, 3, 5, 5, 3, 7, 2, 0, 5, 2, 3, 4, 7, 6, 4, 8, 0, 1, 7, 3, 2, 5, 6, 7, 4, 0, 1, 2, 6, 4, 8, 6, 8, 8, 0, 1, 1, 3, 1, 5, 3, 7, 5, 0, 5, 2, 3, 4, 7, 6, 2, 8, 0, 1, 5, 3, 2, 5, 3, 7, 4, 0, 7, 2, 6

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A010878(A000265(n)).

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = 4. - Amiram Eldar, Aug 29 2024

Mathematica

a[n_] := Mod[n / 2^IntegerExponent[n, 2], 9]; Array[a, 100] (* Amiram Eldar, Aug 29 2024 *)

Prog

(PARI) a(n) = (n>>valuation(n, 2))%9 \\Charles R Greathouse IV, May 14 2014

Crossrefs

Cf. A000265, A010878.

Cf. A099544, A099545, A099546, A099547, A099548, A099549, A099551.

Sequence in context: A318727 A307806 A127418 * A349341 A099549 A334212

Adjacent sequences: A099547 A099548 A099549 * A099551 A099552 A099553

Keyword

nonn,easy

Author

Ralf Stephan, Oct 23 2004

Status

approved