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COMMENT
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Apparently these are completely fictional and there is no mathematical explanation. However, see the pseudo-wild numbers in A058971, A058972, A058973, A058977, A058988, A059175. See also the Lagarias article.
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REFERENCES
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J. C. Lagarias, Wild and Wooley numbers, Amer. Math. Monthly, 113 (No. 2, 2006), 97-108.
P. Schogt, De Wilde Getallen, De Arbeiderspers, Amsterdam, 1998.
P. Schogt, The Wild Numbers, Four Walls Eight Windows Pub., New York, 2000.
D. F. Wallace, Rhetoric and the math melodrama, Science, 290 (Dec 22 2000), 2263-2267.
A number of other reviews of this book exist on the Web.
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