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MR551509 (83h:10030) 10A99
Böhm, Corrado; Sontacchi, Giovanna On the existence of cycles of given length in integer sequences like $x\sb{n+1}=x\sb{n}/2$ if $x\sb{n}$ even, and $x\sb{n+1}=3x\sb{n}+1$ otherwise. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 64 (1978), no. 3, 260–264.
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