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  1. or download this
    n_0 = 1
    n_i = n_(i-1) + n_(i-1)
    
  2. or download this
    say (1 x 5) =~ /^(1|((?1))\2)*$/
    
  3. or download this
    (1 x 5) =~ /^(?:(1|((?=1)(?1))\2)(?{ say length $1 }))*$/