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A143032
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A sequence of asymptotic density zeta(6) - 1, where zeta is the Riemann zeta function.
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10
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31, 95, 159, 223, 287, 351, 415, 479, 482, 543, 607, 671, 735, 799, 863, 927, 968, 991, 1055, 1119, 1183, 1247, 1311, 1375, 1439, 1503, 1567, 1631, 1695, 1759, 1823, 1887, 1940, 1951, 2015, 2079, 2143, 2207, 2271, 2335, 2399, 2426, 2463, 2527, 2591, 2655
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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[2700], f[#] == 6 &] (* 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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