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A143033 A sequence of asymptotic density zeta(7) - 1, where zeta is the Riemann zeta function. 10
63, 191, 319, 447, 575, 703, 831, 959, 1087, 1215, 1343, 1454, 1471, 1599, 1727, 1855, 1983, 2111, 2239, 2367, 2495, 2623, 2751, 2879, 2912, 3007, 3135, 3263, 3391, 3519, 3647, 3775, 3903, 4031, 4159, 4287, 4415, 4543, 4671, 4799, 4927, 5055, 5183, 5311 (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
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[5300], f[#] == 7 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *)
CROSSREFS
Sequence in context: A008874 A045112 A255568 * A156527 A199850 A055811
KEYWORD
nonn
AUTHOR
William J. Keith, Jul 18 2008
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)