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 A143035 A sequence of asymptotic density zeta(9) - 1, where zeta is the Riemann zeta function. 10
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 William J. Keith, Sequences of Density zeta(K) - 1, INTEGERS, Vol. 10 (2010), Article #A19, pp. 233-241. Also arXiv preprint, arXiv:0905.3765 [math.NT], 2009 and author's copy. MATHEMATICA 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 *) CROSSREFS Cf. A143028, A143029, A143030, A143031, A143032, A143033, A143034, A143036, A161189, A339013. Sequence in context: A045137 A329489 A045113 * A157778 A158010 A236783 Adjacent sequences:  A143032 A143033 A143034 * A143036 A143037 A143038 KEYWORD nonn AUTHOR William J. Keith, Jul 18 2008 STATUS approved

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Last modified May 8 13:26 EDT 2021. Contains 343666 sequences. (Running on oeis4.)