A341047 - OEIS

%I #53 Apr 24 2021 20:00:02

%S 3,113,333,92633,103283,208341,4272943,69305155,245850922,3618458675,

%T 21053343141,21053343141,3587785776203,8958937768937,288469374822515,

%U 428224593349304,6134899525417045,66627445592888887,2646693125139304345,2646693125139304345

%N a(n) is the integer part of the smallest multiple of Pi whose fractional part begins with n 0's after the decimal point.

%H Jon E. Schoenfield, <a href="/A341047/b341047.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = floor(Pi*A341046(n)).

%e a(0)=3 as Pi*1=3.1415... is the smallest multiple of Pi that has zero 0's immediately after the decimal point, and 3 is the integer part.

%e a(1)=113 as Pi*36=113.09733... is the smallest multiple of Pi that has one 0 immediately after the decimal point, and 133 is the integer part.

%e a(2)=333 as Pi*106=333.0088212... is the smallest multiple of Pi that has two 0's immediately after the decimal point, and 333 is the integer part.

%t Table[s=t=0;While[t<=k,t=Abs@Floor@Log[10,Abs@FractionalPart@N[Pi*++s]]];IntegerPart[s*Pi],{k,0,6}] (* _Giorgos Kalogeropoulos_, Mar 31 2021 *)

%o (Magma) See A341046.

%Y Cf. A000796, A341046.

%K nonn,base

%O 0,1

%A _Talha Ali_, Feb 04 2021

%E a(6)-a(8) from _Metin Sariyar_, Feb 04 2021

%E More terms from _Jon E. Schoenfield_, Feb 05 2021