A322642 - OEIS

A322642

Number of times the digit 1 appears in the first 10^n decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point.

2, 7, 98, 1005, 10106, 98924, 1000114, 10000179, 99998381, 1000042849

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OFFSET

1,1

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]="1" then C:=C+1; fi;

od;