A011552 -id:A011552 - cp's OEIS frontend

A011546 Decimal expansion of Pi rounded to n places.

3, 31, 314, 3142, 31416, 314159, 3141593, 31415927, 314159265, 3141592654, 31415926536, 314159265359, 3141592653590, 31415926535898, 314159265358979, 3141592653589793, 31415926535897932, 314159265358979324, 3141592653589793238, 31415926535897932385, 314159265358979323846

Offset: 0

N. J. A. Sloane

Scherzer (2012) writes: "The 17th-most common 10-digit password is 3141592654 (for you non-math nerds, those are the first [ten] digits of Pi)." The information comes from an analysis of expired ATM PIN codes conducted by Nick Berry of Data Genetics. - Alonso del Arte, Sep 21 2012

			a(4) = floor(10^4 * Pi + 0.5) = 31416.

Paolo Xausa, Table of n, a(n) for n = 0..995
Mohammad K. Azarian, Al-Risala al-Muhitiyya: A Summary, (The Treatise on the Circumference), Missouri Journal of Mathematical Sciences, Vol. 22, No. 2, 2010, pp. 64-85.
Lisa Scherzer, "Cracking Your PIN Code: Easy as 1-2-3-4", The Exchange, Sep 21 2012.

Cf. A000796, A011552, A011544, A011548.

a:= proc(n) Digits:= n+20;
       round(10^n * Pi)
    end:
seq(a(n), n=0..20); # Alois P. Heinz, Mar 11 2016

Module[{nn=20,pid},pid=RealDigits[Pi,10,nn+2][[1]];Table[Floor[ (FromDigits[ Take[pid,n+1]])/10+1/2],{n,nn}]] (* Harvey P. Dale, Oct 09 2017 *)
Round[Pi*10^Range[0, 20]] (* Paolo Xausa, Jul 08 2025 *)

a(n)=round(Pi*10^n) \\ Charles R Greathouse IV, Sep 21 2012

a(n) = floor(10^n * Pi + 0.5).

A011544 Decimal expansion of e rounded to n places.

Original entry on oeis.org

3, 27, 272, 2718, 27183, 271828, 2718282, 27182818, 271828183, 2718281828, 27182818285, 271828182846, 2718281828459, 27182818284590, 271828182845905, 2718281828459045, 27182818284590452, 271828182845904524, 2718281828459045235, 27182818284590452354, 271828182845904523536

Offset: 0

N. J. A. Sloane

Paolo Xausa, Table of n, a(n) for n = 0..995

Cf. A001113, A011552, A011546, A011548.

A011544 = Round[E 10^#] &; Array[A011544, 17, 0] (* JungHwan Min, Mar 04 2017 *)

a(n)=round(exp(1)*10^n) \\ Charles R Greathouse IV, Mar 05 2017

More terms from Paolo Xausa, Jul 08 2025

A011548 Decimal expansion of sqrt(2) rounded to n places.

Original entry on oeis.org

1, 14, 141, 1414, 14142, 141421, 1414214, 14142136, 141421356, 1414213562, 14142135624, 141421356237, 1414213562373, 14142135623731, 141421356237310, 1414213562373095, 14142135623730950, 141421356237309505, 1414213562373095049, 14142135623730950488, 141421356237309504880

Offset: 0

N. J. A. Sloane

W. Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, 1976.

G. C. Greubel, Table of n, a(n) for n = 0..995 (terms 0..200 from Vincenzo Librandi)

Cf. A002193, A011547, A011552, A011544, A011546.

Round[Table[N[Sqrt[2], k] 10^(k - 1), {k, 20}]] (* Vincenzo Librandi, Aug 17 2013 *)
Module[{nn=20,s},s=RealDigits[Sqrt[2],10,nn+1][[1]];Table[Round[ FromDigits[ Take[ s,n+1]]/10],{n,nn}]] (* Harvey P. Dale, Apr 04 2019 *)

from math import isqrt
def A011548(n): return (m:=isqrt(k:=10**(n<<1)<<1))+int((k-m*(m+1)<<2)>=1) # Chai Wah Wu, Jul 29 2022

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A011546 Decimal expansion of Pi rounded to n places.

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A011544 Decimal expansion of e rounded to n places.

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A011548 Decimal expansion of sqrt(2) rounded to n places.

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