A143034 - OEIS

A143034

A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.

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

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[10^4], f[#] == 8 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *)

CROSSREFS

Cf. A143028, A143029, A143030, A143031, A143032, A143033, A143035, A143036, A161189, A339013.

Sequence in context: A142201 A142889 A095312 * A159521 A122691 A082251

Adjacent sequences: A143031 A143032 A143033 * A143035 A143036 A143037

KEYWORD

nonn

AUTHOR

William J. Keith, Jul 18 2008

STATUS

approved