cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A368707 Number of length-n overlap-free binary words that are squares.

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%I A368707 #24 Jan 05 2024 00:14:39
%S A368707 0,2,0,2,0,6,0,4,0,0,0,12,0,0,0,8,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,16,0,
%T A368707 0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,0,0,
%U A368707 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A368707 Number of length-n overlap-free binary words that are squares.
%F A368707 a(2) = 2; a(2^n) = 2^{n-1} for n>=2; a(3*2^n) = 3*2^n for n>=1; a(n) = 0 for all other entries.
%e A368707 The overlap-free words of length 6 are  001001, 010010, 011011, 001011, 001100, 001101, 010011, 010110, 011001, 011010, and their binary complements, but only the first 3 are squares.
%Y A368707 Cf. A007777.
%K A368707 nonn,easy
%O A368707 1,2
%A A368707 _Jeffrey Shallit_, Jan 04 2024