Search: id:A127031 Results 1-1 of 1 results found. %I A127031 %S A127031 652,2608,880111,2720885,4089051,4619054,5046630,5409046,5433402,5603556, 5645558,7278138,7466589,10037029 %N A127031 Let f(n) = exp(pi*sqrt(n)); sequence gives numbers n such that f(n)-floor(f(n)) < 1/10^6. %p A127031 $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 %o A127031 (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); %Y A127031 Cf. A035484, A127022, A127023, A127024, A127025, A127026, A127027, A127028, A127029. %Y A127031 Sequence in context: A002232 A127029 A127030 this_sequence A089673 A104823 A145125 %Y A127031 Adjacent sequences: A127028 A127029 A127030 this_sequence A127032 A127033 A127034 %K A127031 nonn %O A127031 1,1 %A A127031 Artur Jasinski (grafix(AT)csl.pl), Jan 03 2007 %E A127031 Program and more terms from Charles R Greathouse IV Jul 28 2009 Search completed in 0.001 seconds