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A292992
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Numbers n such that 13 applications of 'Reverse and Subtract' lead to n, whereas fewer than 13 applications do not lead to n.
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3
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1195005230033599502088049947699664004979, 1381092199992389193086189078000076108069, 1417996648846699605185820033511533003948, 2845548027720844548271544519722791554517
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OFFSET
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1,1
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COMMENTS
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There are 13 forty-digit terms in the sequence. Terms of derived sequences can be obtained either by inserting at the center of their digits any number of 9's or by concatenating a term any number of times with itself and inserting an equal number of 0's at all junctures.
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LINKS
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FORMULA
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n = f^13(n), n <> f^k(n) for k < 13, where f: x -> |x - reverse(x)|.
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EXAMPLE
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1195005230033599502088049947699664004979 -> 8598999439933899906714010005600661000932 -> 6208997779868899802537910022201311001974 -> 1417996648846699605185820033511533003948 -> 7075006702306600680629249932976933993193 -> 3161013305514201251368389866944857987486 -> 3686884278982488587263131157210175114127 -> 3527231431145022726364727685688549772736 -> 2845548027720844548271544519722791554517 -> 4309003944558309903456909960554416900965 -> 1381092199992389193086189078000076108069 -> 8226924500016320623717730754999836793762 -> 5552948110021750246544470518899782497534 ->
1195005230033599502088049947699664004979.
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CROSSREFS
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Cf. A072142, A072143, A072718, A072719, A215669, A292634, A292635, A292846, A292856, A292857, A292858, A292859, A292993.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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