cp's OEIS Frontend

A164819 Numbers n such that n-th digit (after decimal point) of Pi and of Euler-Mascheroni constant gamma are the same.

%I A164819 #11 Sep 08 2022 08:45:47
%S A164819 7,32,33,40,42,43,67,72,126,133,135,137,140,158,166,169,170,182,186,
%T A164819 191,199,204,245,246,248,266,274,284,297,313,321,329,330,344,352,372,
%U A164819 382,389,407,419,429,435,442,458,463,487,492,495,501,505,506,551,555,570
%N A164819 Numbers n such that n-th digit (after decimal point) of Pi and of Euler-Mascheroni constant gamma are the same.
%F A164819 Presumably a(n) ~ 10n. - _Charles R Greathouse IV_, Sep 18 2012
%e A164819 Pi = 3.1415926535..., gamma = 0.5772156649...; seventh digit of Pi and seventh digit of gamma are both 6, hence 7 is in the sequence.
%p A164819 P:=proc(i) local a,b,n; a:=convert(evalf(gamma,1000),string); b:=convert(evalf(Pi-3,1000),string); for n from 2 by 1 to i do if substring(a,n)=substring(b,n) then print(n-1); fi; od; end: P(900);
%o A164819 (Magma) m:=600; p:=Pi(RealField(m+1)); sp:=IntegerToString(Round(10^m*(p-3))); g:=EulerGamma(RealField(m)); sg:=IntegerToString(Round(10^m*g)); [ a: a in [1..m] | sp[a] eq sg[a] ]; // _Klaus Brockhaus_, Sep 03 2009
%Y A164819 Cf. A068394, A164820.
%K A164819 easy,nonn,base
%O A164819 1,1
%A A164819 _Paolo P. Lava_ and _Giorgio Balzarotti_, Aug 27 2009
%E A164819 Edited and listed terms verified by _Klaus Brockhaus_, Sep 03 2009