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A332715 Decimal expansion of a continued fraction based on Pi truncated to n places. 0

%I #18 Feb 22 2020 22:12:51

%S 3,0,3,2,2,5,4,7,5,0,9,0,2,1,7,8,0,7,9,8,7,5,6,5,1,1,0,8,7,8,1,1,8,3,

%T 1,4,1,1,5,2,7,2,4,3,8,9,6,8,0,3,0,1,6,4,3,9,7,9,6,3,6,7,3,9,4,6,4,0,

%U 9,4,7,2,5,3,4,4,0,2,5,9,9,7,6,3,4,8,8,6,3,9,4,3,6,4,8,6,0,6,6,9,3,2,3,5,3,1,3,7,7,6,0,5,7,4

%N Decimal expansion of a continued fraction based on Pi truncated to n places.

%C After a few terms 3.14115... appears in the constant, which is almost Pi.

%F A011545(1) + 1/(A011545(2) + 1/(A011545(3) + 1/...)).

%e 3 + 1/(31 + 1/(314 + 1/(3141...)))

%e = 3.032254750902178079875651108781183141152724389680301643979636739...

%Y Cf. A000796, A011545, A094964.

%K nonn,cons,easy,base

%O 1,1

%A _Eder Vanzei_, Feb 20 2020

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