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A127025 Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^6. 12

%I #65 Jan 31 2024 08:02:26

%S 58,163,1467,478233,881967,1053883,1341615,1844122,3498092,6069493,

%T 6396611,8707530,10414308,13340780,16039620,17013933,17226343,

%U 18577932,19390220,21991290,24529596,26202225,26634713,26651262,26848308,27497372,32149837,35437319,35892748

%N Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^6.

%H Anthony Canu, <a href="/A127025/b127025.txt">Table of n, a(n) for n = 1..182</a>

%t a = {}; Do[If[(1 - (Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) > 0) && (1 - ( Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]])< 10^(-6)), AppendTo[a, x]], {x, 1, 1000}]; a

%o (PARI) is(n)=my(t);default(realprecision, 40);default(realprecision, Pi*sqrt(n)\log(10)+40); t=exp(Pi*sqrt(n));ceil(t)-t<1e-6 \\ _Charles R Greathouse IV_, Feb 20 2012

%Y Cf. A035484, A127022, A127023, A127024.

%K nonn

%O 1,1

%A _Artur Jasinski_, Jan 03 2007

%E a(4)-a(20) from _Charles R Greathouse IV_, Feb 20 2012

%E a(21)-a(36) from _Charles R Greathouse IV_, Feb 23 2012

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Last modified May 21 12:49 EDT 2024. Contains 372736 sequences. (Running on oeis4.)