login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A080283 Numbers n such that (log(n)/Pi)^2 is closer to its nearest integer than any value of (log(k)/Pi)^2 for 1 <= k < n. 2

%I #10 Jan 08 2019 09:12:41

%S 2,22,23,85,2198,83048,422151,2508952,6635624,199148648,24591257752,

%T 39660184000219160,262537412640768744,14468071444687145223825854225,

%U 75579535015741588088534584527,101634035376709910404057715634

%N Numbers n such that (log(n)/Pi)^2 is closer to its nearest integer than any value of (log(k)/Pi)^2 for 1 <= k < n.

%C (log(2198)/Pi)^2 = 6.0000064777...

%o (PARI) print1("2,22,");k=vector(2);d=1;for(n=1,500,k[1]=floor(exp(sqrt(n)*Pi)); k[2]=k[1]+1;for(i=1,2,s=(log(k[i])/Pi)^2;s=abs(s-round(s)); if(s<d,d=s;print1(k[i],",")))) \\ _Robert Gerbicz_, Aug 24 2006

%Y Cf. A079490, A080052, A080279-A080282.

%K nonn

%O 1,1

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003

%E More terms from _Michel ten Voorde_ Jun 20 2003

%E Further terms from _Robert Gerbicz_, Aug 24 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)