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.

A099802 Bisection of A000720.

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%I A099802 #24 Dec 07 2019 12:18:24
%S A099802 1,2,3,4,4,5,6,6,7,8,8,9,9,9,10,11,11,11,12,12,13,14,14,15,15,15,16,
%T A099802 16,16,17,18,18,18,19,19,20,21,21,21,22,22,23,23,23,24,24,24,24,25,25,
%U A099802 26,27,27,28,29,29,30,30,30,30,30,30,30,31,31,32,32,32,33,34,34,34,34,34
%N A099802 Bisection of A000720.
%C A099802 Maximal number of primes possible in a string of 2n consecutive numbers. - _Lekraj Beedassy_, Dec 04 2004
%C A099802 a(n) = A139325(n,1) + 1. - _Reinhard Zumkeller_, Apr 14 2008
%C A099802 Or the number of primes <= 2n. - _Juri-Stepan Gerasimov_, Oct 29 2009
%F A099802 a(n) = A000720(n) + A035250(n) - A010051(n). - _Reinhard Zumkeller_, Jul 05 2010
%F A099802 a(n) = A000720(2*n). - _Wesley Ivan Hurt_, Jun 16 2013
%p A099802 with(numtheory):seq(pi(2*n),n=1..86); # _Emeric Deutsch_, Apr 12 2005
%o A099802 (Sage) [prime_pi(2*n) for n in range(1, 75)] # _Zerinvary Lajos_, Jun 06 2009
%o A099802 (PARI) a(n)=primepi(2*n) \\ _Charles R Greathouse IV_, Sep 02 2015
%Y A099802 Cf. A099081.
%K A099802 nonn,easy
%O A099802 1,2
%A A099802 _N. J. A. Sloane_, Nov 19 2004
%E A099802 More terms from _Emeric Deutsch_, Apr 12 2005