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A143036 A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function. 10
511, 1535, 2559, 3583, 4607, 5631, 6655, 7679, 8703, 9727, 10751, 11775, 12799, 13823, 14847, 15871, 16895, 17919, 18943, 19967, 20991, 22015, 23039, 24063, 25087, 26111, 27135, 28159, 29183, 30207, 31231, 32255, 33279, 34303, 35327 (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[4*10^4], f[#] == 10 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *)

CROSSREFS

Cf. A143028, A143029, A143030, A143031, A143032, A143033, A143034, A143035, A161189, A339013.

Sequence in context: A158011 A032656 A031899 * A160361 A204739 A075948

Adjacent sequences:  A143033 A143034 A143035 * A143037 A143038 A143039

KEYWORD

nonn

AUTHOR

William J. Keith, Jul 18 2008

STATUS

approved

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Last modified May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)