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Search: id:A092328
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| A092328 |
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Solutions to the equation x^2=ceiling(x*r*floor(x/r)) where r=Pi. |
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+0
1
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| 0, 22, 44, 355, 710, 1065, 1420, 1775, 2130, 2485, 2840, 3195, 312689, 1146408, 5419351, 10838702
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Does limit n->infty log(a(n))/n exist ?
Notice that the entries above are either numerators of convergents to Pi (A002485) or multiples thereof. - Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 26 2004
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MATHEMATICA
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Do[ If[ n^2 == Ceiling[n*3.1415926535897932346264*Floor[n/3.1415926535897932346264]], Print[n]], {n, 0, 10^8}] (From Robert G. Wilson v Feb 26 2004)
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PROGRAM
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(PARI) for(x=1, 2000000, if(x^2==ceil(Pi*x*floor(x/Pi)), print1(x, ", ")))
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CROSSREFS
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Sequence in context: A038153 A033848 A084024 this_sequence A138869 A138872 A003858
Adjacent sequences: A092325 A092326 A092327 this_sequence A092329 A092330 A092331
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 14 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 26 2004
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