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A073824 Decimal expansion of number with continued fraction expansion 0, 1, 4, 9, ... (the squares). 9

%I #18 Nov 30 2019 09:07:43

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

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

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

%N Decimal expansion of number with continued fraction expansion 0, 1, 4, 9, ... (the squares).

%H Kerry Mitchell, <a href="/A073824/b073824.txt">Table of n, a(n) for n = 0..1494</a>

%e 0.80431856111715795076768044139...

%t RealDigits[FromContinuedFraction[Range[0,100]^2],10,120][[1]] (* _Harvey P. Dale_, May 07 2018 *)

%o (PARI) dec_exp(v)= w=contfracpnqn(v); w[1,1]/w[2,1]+0.

%o dec_exp(vector(2000,i,(i-1)^2))

%Y Cf. A000290 (squares).

%Y The numerators and denominators of convergents to this constant are given by A036245 and A036246 respectively.

%K cons,nonn

%O 0,1

%A _Rick L. Shepherd_, Aug 12 2002

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