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, 22, 23, 85, 2198, 83048, 422151, 2508952, 6635624, 199148648, 24591257752, 39660184000219160, 262537412640768744, 14468071444687145223825854225, 75579535015741588088534584527, 101634035376709910404057715634

Offset: 1

Author

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

Keywords

• nonn

Comments

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

Crossrefs

Cf. A079490, A080052, A080279-A080282.

Programs

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(sRobert Gerbicz, Aug 24 2006

Extensions

More terms from Michel ten Voorde Jun 20 2003

Further terms from Robert Gerbicz, Aug 24 2006