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Subject:        Indagationes Mathematicae, 34 (2023) 1373-1396. doi:10.1016/j.indag.2023.07.002
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      Title: Three essays on Machin's type formulas
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        Title: Introduction
       Item: 
        Title: Machin's formulas with powers of two
        Children: 
         Item: 
          Title: A reformulation
         Item: 
          Title: Proof of Theorem 1 
          Children: 
           Item: 
            Title: The case a1≥1
           Item: 
            Title: The case a1=0
       Item: 
        Title: The Machin's formulas machine
        Children: 
         Item: 
          Title: The functions Rj(n,x)
         Item: 
          Title: Some properties of the functions Rj(n,x)
         Item: 
          Title: Machin-like formulas associated to Rj(n,x)
         Item: 
          Title: Some examples
         Item: 
          Title: Machin-like identities with small Lehmer measure
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        Title: Machin's formulas with powers of the golden section
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        Title: Acknowledgments
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        Title: References
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  Checksum: 1b021c48
   Type: CRC32
  Checksum: eadf92f3fa8ee15afca25bab954b0d1b
   Type: MD5
  Checksum: f5bd4d76d0d9d279cb241c16c2eb4e6656f7e8bb
   Type: SHA-1
  Checksum: 7d316376dc0e180dbde0bd4584e3b30af494300f58a2a28d278f32bafbd967d7
   Type: SHA-256