cp's OEIS Frontend

A323627 For any nonnegative real number x, let f(x) be the real number obtained by replacing in the binary expansions of the integer and fractional parts of x each finite run of k consecutive equal bits b with a run of k-(-1)^k consecutive bits b; a(n) is the denominator of f(1/n).

%I A323627 #9 Feb 27 2020 23:34:53
%S A323627 1,4,5,16,3,5,7,8,17,24,257,20,129,56,21,64,9,17,1025,12,15,257,2047,
%T A323627 10,8193,129,1025,28,10923,21,31,32,65,72,87381,68,2097153,8200,16383,
%U A323627 96,2049,120,1025,1028,5461,16376,536870911,80,33554431,65544,1365,516
%N A323627 For any nonnegative real number x, let f(x) be the real number obtained by replacing in the binary expansions of the integer and fractional parts of x each finite run of k consecutive equal bits b with a run of k-(-1)^k consecutive bits b; a(n) is the denominator of f(1/n).
%H A323627 Rémy Sigrist, <a href="/A323627/a323627.gp.txt">PARI program for A323627</a>
%F A323627 a(2^k) = 2^(k+1+(-1)^k) for any k >= 2.
%o A323627 (PARI) See Links section.
%Y A323627 See A323626 for the corresponding numerators and additional comments.
%K A323627 nonn,frac,base
%O A323627 1,2
%A A323627 _Rémy Sigrist_, Jan 20 2019