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The continued fraction expansion of Pi! (A111293).
1

%I #17 Feb 27 2015 23:01:13

%S 7,5,3,6,2,1,1,3,1,3,1,1,1,1,6,1,7,22,22,1,6,2,1,24,3,2,3,1,1,13,1,19,

%T 1,42,2,3,1,4,1,1,7,4,2,4,5,1,2,5,3,7,3,1,1,7,2,1,1,1,11,5,3,4,48,1,5,

%U 2,1,5,3,429,1,4,8,1,5,2,6,1,5,1

%N The continued fraction expansion of Pi! (A111293).

%C Records: 5, 6, 22, 24, 42, 48, 429, 2962, 136067, 259575, ..., .

%e Pi! = 7.188082728976032702082194345124758718559301763968437162410035699423438403...

%e = 7 + 1/(5 + 1/(3 + 1/(6 + 1/(2 + ...))))

%e = [a_0; a_1, a_2, a_3, ...] = [7; 5, 3, 6, 2, ...]

%t ContinuedFraction[Pi!, 100]

%o (PARI) default(realprecision, 100); contfrac(gamma(Pi+1)) \\ _Michel Marcus_, Feb 18 2015

%Y Cf. A111293.

%K nonn,cofr

%O 0,1

%A _Robert G. Wilson v_, Feb 17 2015