cp's OEIS Frontend

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.

A038624 Values of pi(x) where x exceeds n * pi(x).

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%I A038624 #25 Sep 04 2018 09:26:50
%S A038624 1,1,12,31,69,181,443,1052,2701,6455,15928,40073,100362,251707,637235,
%T A038624 1617175,4124437,10553415,27066974,69709680,179992909,465769803,
%U A038624 1208198526,3140421716,8179002096,21338685407,55762149030,145935689361
%N A038624 Values of pi(x) where x exceeds n * pi(x).
%C A038624 "Exceeds" can be interpreted as ">" or ">=" since the corresponding primes are never multiples of their indices. - _R. J. Mathar_, Jun 08 2008
%C A038624 Equivalently, a(n) = minimal k such that prime(k)/k >= n. - _Enoch Haga_, Oct 19 2007
%C A038624 a(n) = A062742(n) = A038606(n) for n >= 3. - _Jaroslav Krizek_, Dec 13 2009
%H A038624 Giovanni Resta, <a href="/A038624/b038624.txt">Table of n, a(n) for n = 1..50</a>
%e A038624 x exceeds 3*pi(x) when pi(x)=12, so a(3)=12
%t A038624 Join[{k = 1}, Table[While[Prime[k]/k < n, k++]; k, {n, 2, 18}]] (* _Jayanta Basu_, Jul 10 2013 *)
%Y A038624 Cf. A038623-A038627.
%Y A038624 Essentially the same as A062742.
%Y A038624 Cf. A038606 (variant).
%K A038624 nonn
%O A038624 1,3
%A A038624 _Jud McCranie_
%E A038624 a(24)-a(28) from _Robert G. Wilson v_, Sep 26 2005
%E A038624 Edited by _N. J. A. Sloane_, Jun 30 2008 at the suggestion of R. J. Mathar.
%E A038624 a(29)-a(50) obtained from the values of A038625 computed by _Jan Büthe_. - _Giovanni Resta_, Sep 01 2018