A322715 Number of times the digit 0 appears in the first 10^n decimal digits of Euler's number e = exp(1), counting starts after the decimal point.

0, 5, 100, 974, 9885, 99425, 998678, 9999138, 100004425, 1000024802

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]="0" then C:=C+1; fi;
  od;
  return(C);
end;

Mathematica

Table[Count[IntegerDigits[IntegerPart[(E - 2)*10^10^n]], 0], {n, 7}] (* Robert Price, Apr 07 2019 *)

Crossrefs

Cf. A001113, A099291, A322641, A322716, A322717, A322718, A322719, A322720, A322721, A322722, A322723, A322724.

Sequence in context: A147539 A266610 A156276 * A208348 A128784 A369535

Adjacent sequences: A322712 A322713 A322714 * A322716 A322717 A322718

Keyword

nonn,base,more

Author

Martin Renner, Dec 24 2018

Status

approved