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A143034
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A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.
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10
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127, 383, 639, 895, 1151, 1407, 1663, 1919, 2175, 2431, 2687, 2943, 3199, 3455, 3711, 3967, 4223, 4370, 4479, 4735, 4991, 5247, 5503, 5759, 6015, 6271, 6527, 6783, 7039, 7295, 7551, 7807, 8063, 8319, 8575, 8744, 8831, 9087, 9343, 9599, 9855, 10111
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OFFSET
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1,1
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COMMENTS
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Made up of a collection of mutually exclusive residue classes modulo multiples of factorials. A set of such sequences with entries for each zeta(k) - 1 partitions the integers. See the linked paper for their construction.
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LINKS
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MATHEMATICA
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f[n_] := Module[{k = n - 1, m = 2, r}, While[{k, r} = QuotientRemainder[k, m]; r != 0, m++]; IntegerExponent[k + 1, m] + 2]; Select[Range[10^4], f[#] == 8 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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