A322724 Number of times the digit 9 appears in the first 10^n decimal digits of Euler's number e = exp(1), counting starts after the decimal point.

0, 10, 112, 968, 9863, 99691, 1000278, 9997209, 99998052, 999992793

Offset

1,2

Comments

It is not known if e is normal, but the distribution of decimal digits found for the first 10^n digits of e shows no statistically significant departure from a uniform distribution.

Links

Table of n, a(n) for n=1..10.

Eric Weisstein's World of Mathematics, e Digits.

Maple

a:=proc(n)
  local digits, EXP1, C, i;
  digits:=10^n+100;
  EXP1:=convert(frac(evalf[digits](exp(1))), string)[2..digits-99];
  C:=0;
  for i from 1 to length(EXP1) do
    if EXP1[i]="9" then C:=C+1; fi;
  od;
  return(C);
end;

Mathematica

Table[Count[IntegerDigits[IntegerPart[(E - 2)*10^10^n]], 9], {n, 7}] (* Robert Price, Apr 07 2019 *)

Crossrefs

Cf. A001113, A099300, A322650, A322715, A322716, A322717, A322718, A322719, A322720, A322721, A322722, A322723.

Sequence in context: A362671 A344398 A046164 * A184131 A239651 A014484

Adjacent sequences: A322721 A322722 A322723 * A322725 A322726 A322727

Keyword

nonn,base,more

Author

Martin Renner, Dec 24 2018

Status

approved