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A322647 Number of times the digit 6 appears in the first 10^n decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point. 10
1, 10, 90, 1032, 9939, 99886, 1001246, 10001665, 100012683, 1000007824 (list; graph; refs; listen; history; text; internal format)
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]="6" then C:=C+1; fi;

  od;

  return(C);

end;

MATHEMATICA

Table[DigitCount[IntegerPart[(Sqrt[2]-1)*10^10^n], 10, 6], {n, 1, 10}] (* Robert Price, Mar 29 2019 *)

CROSSREFS

Cf. A002193, A099297, A322641, A322642, A322643, A322644, A322645, A322646, A322648, A322649, A322650.

Sequence in context: A172199 A063945 A218127 * A243106 A046706 A337867

Adjacent sequences:  A322644 A322645 A322646 * A322648 A322649 A322650

KEYWORD

nonn,base,more

AUTHOR

Martin Renner, Dec 21 2018

STATUS

approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)