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

1,1

Comments

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

Links

Table of n, a(n) for n=1..16.

Prog

(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

Crossrefs

Cf. A079490, A080052, A080279-A080282.

Sequence in context: A325485 A284063 A153826 * A228112 A080433 A022373

Adjacent sequences: A080280 A080281 A080282 * A080284 A080285 A080286

Keyword

nonn

Author

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

Extensions

More terms from Michel ten Voorde Jun 20 2003

Further terms from Robert Gerbicz, Aug 24 2006

Status

approved