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 A068394 Numbers n such that the n-th digit of Pi and the n-th digit of e are the same. 5

%I

%S 12,16,17,20,33,39,44,55,58,69,80,94,99,142,169,205,243,262,274,278,

%T 293,323,325,330,333,360,364,387,388,395,411,419,427,428,452,459,460,

%U 461,483,493,499,500,503,506,511,522,525,547,581,590,594,595,598,602

%N Numbers n such that the n-th digit of Pi and the n-th digit of e are the same.

%H Carmine Suriano, <a href="/A068394/b068394.txt">Table of n, a(n) for n = 1..290</a>

%F a(n) = A052055(n) - 1.

%e Let dPi(n) be the n-th digit of Pi=3.14159... (e.g., dPi(2)=4) and de(n) be the n-th digit of e=2.718... (e.g., de(2)=1); then dPi(12) = de(12) = 9, hence 12 is in the sequence.

%p P:=proc(i) local a,b,c,x,y,n; a:=evalf(Pi-3,1000); b:=evalf(exp(1)-2,1000); c:=1; for n from 0 by 1 to i do x:=trunc(a*10); y:=trunc(b*10); a:=evalf(frac(a*10),1000); b:=evalf(frac(b*10),1000); if x=y then print(c); fi; c:=c+1; od; end: P(900); # _Paolo P. Lava_, Oct 22 2008

%o (MAGMA) m:=610; p:=Pi(RealField(m+1)); sp:=IntegerToString(Round(10^m*(p-3))); e:=Exp(One(RealField(m+1))); se:=IntegerToString(Round(10^m*(e-2))); [ a: a in [1..m] | sp[a] eq se[a] ]; // _Klaus Brockhaus_, Sep 04 2009

%Y Cf. A052055.

%K easy,nonn,base

%O 1,1

%A _Benoit Cloitre_, Mar 08 2002

%E Listed terms verified by _Klaus Brockhaus_, Sep 04 2009

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Last modified September 24 03:26 EDT 2021. Contains 347623 sequences. (Running on oeis4.)