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Odd part of n modulo 6.
8

%I #10 Aug 29 2024 09:16:09

%S 1,1,3,1,5,3,1,1,3,5,5,3,1,1,3,1,5,3,1,5,3,5,5,3,1,1,3,1,5,3,1,1,3,5,

%T 5,3,1,1,3,5,5,3,1,5,3,5,5,3,1,1,3,1,5,3,1,1,3,5,5,3,1,1,3,1,5,3,1,5,

%U 3,5,5,3,1,1,3,1,5,3,1,5,3,5,5,3,1,1,3,5,5,3,1,5,3,5,5,3,1,1,3,1,5,3

%N Odd part of n modulo 6.

%H Amiram Eldar, <a href="/A099547/b099547.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A010875(A000265(n)).

%F Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = 3. - _Amiram Eldar_, Aug 29 2024

%t a[n_] := Mod[n / 2^IntegerExponent[n, 2], 6]; Array[a, 100] (* _Amiram Eldar_, Aug 29 2024 *)

%o (PARI) a(n) = (n>>valuation(n, 2))%6 \\_Charles R Greathouse IV_, May 14 2014

%Y Cf. A000265, A010875.

%Y Cf. A099544, A099545, A099546, A099548, A099549, A099550, A099551.

%K nonn,easy

%O 1,3

%A _Ralf Stephan_, Oct 23 2004