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A143035
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A sequence of asymptotic density zeta(9) - 1, where zeta is the Riemann zeta function.
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10
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255, 767, 1279, 1791, 2303, 2815, 3327, 3839, 4351, 4863, 5375, 5887, 6399, 6911, 7423, 7935, 8447, 8959, 9471, 9983, 10495, 11007, 11519, 12031, 12543, 13055, 13118, 13567, 14079, 14591, 15103, 15615, 16127, 16639, 17151, 17663, 18175
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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[2*10^4], f[#] == 9 &] (* 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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