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A322720
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Number of times the digit 5 appears in the first 10^n decimal digits of Euler's number e = exp(1), counting starts after the decimal point.
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9
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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Eric Weisstein's World of Mathematics, e Digits.
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MAPLE
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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]="5" then C:=C+1; fi;
od;
return(C);
end;
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MATHEMATICA
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Table[Count[IntegerDigits[IntegerPart[(E - 2)*10^10^n]], 5], {n, 7}] (* Robert Price, Apr 07 2019 *)
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CROSSREFS
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Cf. A001113, A099296, A322646, A322715, A322716, A322717, A322718, A322719, A322721, A322722, A322723, A322724.
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KEYWORD
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nonn,base,more
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AUTHOR
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STATUS
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approved
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