cp's OEIS Frontend

A099246 Denominator of relative frequency of number of ones in the binary representation of n.

%I A099246 #16 Apr 05 2025 09:11:10
%S A099246 1,1,2,1,3,3,3,1,4,2,2,4,2,4,4,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,6,3,
%T A099246 3,2,3,2,2,3,3,2,2,3,2,3,3,6,3,2,2,3,2,3,3,6,2,3,3,6,3,6,6,1,7,7,7,7,
%U A099246 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
%N A099246 Denominator of relative frequency of number of ones in the binary representation of n.
%H A099246 Reinhard Zumkeller, <a href="/A099246/b099246.txt">Table of n, a(n) for n = 0..10000</a>
%H A099246 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>.
%F A099246 a(n)*A000120(n) = A099245(n)*A070939(n).
%F A099246 a(n) = A070939(n)/A099244(n) for n > 0.
%F A099246 a(n) = 1 iff n = A000225(k).
%F A099246 a(n) = if n=0 then 1 else A070939(n)/GCD(A070939(n), A000120(n)).
%t A099246 a[n_] := Denominator[First[#]/Total[#]] & @ DigitCount[n, 2, {1, 0}]; Array[a, 100, 0] (* _Amiram Eldar_, Apr 05 2025 *)
%o A099246 (Haskell)
%o A099246 import Data.Ratio ((%), denominator)
%o A099246 a099246 n = denominator $ (a000120 n) % (a070939 n)
%o A099246 -- _Reinhard Zumkeller_, Oct 10 2013
%Y A099246 Cf. A000120, A000225, A007088, A070939, A099244, A099245 (numerators).
%K A099246 nonn,frac,base
%O A099246 0,3
%A A099246 _Reinhard Zumkeller_, Oct 08 2004