This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A143034 #13 Feb 15 2021 02:33:37
%S A143034 127,383,639,895,1151,1407,1663,1919,2175,2431,2687,2943,3199,3455,
%T A143034 3711,3967,4223,4370,4479,4735,4991,5247,5503,5759,6015,6271,6527,
%U A143034 6783,7039,7295,7551,7807,8063,8319,8575,8744,8831,9087,9343,9599,9855,10111
%N A143034 A sequence of asymptotic density zeta(8) - 1, where zeta is the Riemann zeta function.
%C A143034 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.
%H A143034 Amiram Eldar, <a href="/A143034/b143034.txt">Table of n, a(n) for n = 1..10000</a>
%H A143034 William J. Keith, <a href="https://www.emis.de/journals/INTEGERS/papers/k19/k19.Abstract.html">Sequences of Density zeta(K) - 1</a>, INTEGERS, Vol. 10 (2010), Article #A19, pp. 233-241. Also <a href="http://arxiv.org/abs/0905.3765">arXiv preprint</a>, arXiv:0905.3765 [math.NT], 2009 and <a href="http://www.math.drexel.edu/~keith/ZetaKMinusOne.pdf">author's copy</a>.
%t A143034 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 *)
%Y A143034 Cf. A143028, A143029, A143030, A143031, A143032, A143033, A143035, A143036, A161189, A339013.
%K A143034 nonn
%O A143034 1,1
%A A143034 _William J. Keith_, Jul 18 2008