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Search: id:A127031
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| A127031 |
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Let f(n) = exp(pi*sqrt(n)); sequence gives numbers n such that f(n)-floor(f(n)) < 1/10^6. |
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11
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| 652, 2608, 880111, 2720885, 4089051, 4619054, 5046630, 5409046, 5433402, 5603556, 5645558, 7278138, 7466589, 10037029
(list; graph; listen)
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OFFSET
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1,1
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MAPLE
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$MaxExtraPrecision = 1000; a = {}; Do[If[((Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) > 0) && ((Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) < 10^(-6)), AppendTo[a, x]], {x, 1, 100000}]; a
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PROGRAM
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(Pari) search(a, b)=my(t, prec=default(realprecision), nprec=round(Pi*sqrt(b)/log(10)+20)); default(realprecision, nprec); for(n=floor(a), b, t=exp(Pi*sqrt(n)); if(t-floor(t)<.000001, print(n))); default(realprecision, prec);
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CROSSREFS
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Cf. A035484, A127022, A127023, A127024, A127025, A127026, A127027, A127028, A127029.
Sequence in context: A002232 A127029 A127030 this_sequence A089673 A104823 A145125
Adjacent sequences: A127028 A127029 A127030 this_sequence A127032 A127033 A127034
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KEYWORD
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nonn
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007
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EXTENSIONS
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Program and more terms from Charles R Greathouse IV Jul 28 2009
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