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Search: id:A080283
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| A080283 |
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Numbers n such that (ln(n)/Pi)^2 is closer to its nearest integer than any value of (ln(k)/Pi)^2 for 1 <= k < n. |
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+0
2
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| 2, 22, 23, 85, 2198, 83048, 422151, 2508952, 6635624, 199148648, 24591257752, 39660184000219160, 262537412640768744, 14468071444687145223825854225, 75579535015741588088534584527, 101634035376709910404057715634
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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(ln(2198)/Pi)^2=6.0000064777...
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PROGRAM
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(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 (robert.gerbicz(AT)gmail.com), Aug 24 2006
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CROSSREFS
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Cf. A079490, A080052, A080279-A080282.
Sequence in context: A083764 A141236 A079032 this_sequence A080433 A022373 A111751
Adjacent sequences: A080280 A080281 A080282 this_sequence A080284 A080285 A080286
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KEYWORD
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nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
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EXTENSIONS
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More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Jun 20 2003
Further terms from Robert Gerbicz (robert.gerbicz(AT)gmail.com), Aug 24 2006
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