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a(n) is the denominator of the image of 1/n by the Cantor staircase function.
2

%I #8 Jul 14 2019 18:02:38

%S 1,2,2,3,4,4,4,4,4,5,16,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,64,10,32,32,

%T 32,32,256,12,64,64,14,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,

%U 16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16

%N a(n) is the denominator of the image of 1/n by the Cantor staircase function.

%H Rémy Sigrist, <a href="/A326539/b326539.txt">Table of n, a(n) for n = 1..6561</a>

%H Rémy Sigrist, <a href="/A326539/a326539.gp.txt">PARI program for A326539</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Cantor_function">Cantor function</a>

%o (PARI) See Links section.

%Y See A326538 for the corresponding numerators and additional comments.

%K nonn,base,frac

%O 1,2

%A _Rémy Sigrist_, Jul 12 2019