A322641 Number of times the digit 0 appears in the first 10^n decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point.

0, 10, 108, 952, 9959, 99814, 999897, 10002237, 100010228, 999996989

Offset

1,2

Comments

It is not known if sqrt(2) is normal, but the distribution of decimal digits found for the first 10^n digits of sqrt(2) 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, Pythagoras's Constant Digits.

Maple

a:=proc(n)
  local digits, SQRT2, C, i;
  digits:=10^n+100;
  SQRT2:=convert(frac(evalf[digits](sqrt(2))), string)[2..digits-99];
  C:=0;
  for i from 1 to length(SQRT2) do
    if SQRT2[i]="0" then C:=C+1; fi;
  od;
  return(C);
end;

Mathematica

Table[DigitCount[IntegerPart[(Sqrt[2]-1)*10^10^n], 10, 0], {n, 1, 10}] (* Robert Price, Mar 29 2019 *)

Crossrefs

Cf. A002193, A099291, A322642, A322643, A322644, A322645, A322646, A322647, A322648, A322649, A322650.

Sequence in context: A163192 A140647 A177060 * A218061 A339117 A157084

Adjacent sequences: A322638 A322639 A322640 * A322642 A322643 A322644

Keyword

nonn,base,more

Author

Martin Renner, Dec 21 2018

Status

approved