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

0,1

Links

Jon E. Schoenfield, Table of n, a(n) for n = 0..1000

Formula

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

Example

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.

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 *)

Prog

(Magma) See A341046.

Crossrefs

Cf. A000796, A341046.

Sequence in context: A142603 A350053 A249164 * A080174 A065117 A227794

Adjacent sequences: A341044 A341045 A341046 * A341048 A341049 A341050

Keyword

nonn,base

Author

Talha Ali, Feb 04 2021

Extensions

a(6)-a(8) from Metin Sariyar, Feb 04 2021

More terms from Jon E. Schoenfield, Feb 05 2021

Status

approved