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Continued fraction for arithmetic mean of Pi and e.
1

%I #15 Aug 07 2024 22:39:24

%S 2,1,13,3,1,1,1,42,1,2,1,5,5,1,1,1,1,4,2,1,2,4,8,1,3,1,1,1,1,1,1,1,4,

%T 18,1,1,1,12,3,1,8,1,1,2,3,1,2,5,2,2,2,1,2,6,2,4,4,3,1,1,19,730,1,30,

%U 1,51,2,1,2,6,1,1,1,4,7,20,96,38,5,3,3,10,1,1,3,3,2,2,3,74,1,1,941,1,4,3

%N Continued fraction for arithmetic mean of Pi and e.

%H Vincenzo Librandi, <a href="/A074955/b074955.txt">Table of n, a(n) for n = 0..999</a>

%t ContinuedFraction[(E + Pi)/2, 100] (* _Vincenzo Librandi_, Oct 05 2013 *)

%o (PARI) contfrac((Pi+exp(1))/2) \\ _Michel Marcus_, Oct 03 2013

%Y Cf. A019645 (decimal expansion).

%K nonn,cofr

%O 0,1

%A _Zak Seidov_, Oct 05 2002

%E Offset changed by _Andrew Howroyd_, Aug 07 2024