A341047 a(n) is the integer part of the smallest multiple of Pi whose fractional part begins with n 0's after the decimal point.
3, 113, 333, 92633, 103283, 208341, 4272943, 69305155, 245850922, 3618458675, 21053343141, 21053343141, 3587785776203, 8958937768937, 288469374822515, 428224593349304, 6134899525417045, 66627445592888887, 2646693125139304345, 2646693125139304345
Offset: 0
Examples
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. 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. 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.
Links
- Jon E. Schoenfield, Table of n, a(n) for n = 0..1000
Programs
-
Magma
See A341046.
-
Mathematica
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 *)
Formula
a(n) = floor(Pi*A341046(n)).
Extensions
a(6)-a(8) from Metin Sariyar, Feb 04 2021
More terms from Jon E. Schoenfield, Feb 05 2021