A127029 - OEIS

A127029

Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10^4.

%I #8 Sep 04 2017 19:28:04

%S 652,2608,5868,14370,22905,23325,28201,34218,45374,54295,55003,59266,

%T 66499,76750,87228,91311,95041,160874,169259,184867,192157,196681,

%U 197869,206495,206656,210532,210676,230491,251572,273117,289732,301417,311669,317780,321484

%N Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10^4.

%t $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^(-4)), AppendTo[a, x]], {x, 1, 20000}]; a

%Y Cf. A035484, A127022, A127023, A127024, A127025, A127026, A127027, A127028, A127030.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jan 03 2007

%E a(5)-a(35) from _Jon E. Schoenfield_, Sep 04 2017