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Decimal expansion of the real number whose continued fraction is defined by the property that the k-th partial quotient is the period of the continued fraction for sqrt(k).
1

%I #17 Nov 20 2023 08:18:50

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

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

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

%N Decimal expansion of the real number whose continued fraction is defined by the property that the k-th partial quotient is the period of the continued fraction for sqrt(k).

%C The continued fraction above is [0, 1, 2, 0, 1, 2, 4, 2, 0, 1, ... ] = A003285. - _Sean A. Irvine_, Dec 02 2021

%e 0.775172076722345....

%Y Cf. A003285.

%K cons,nonn

%O 0,1

%A Justin T. Miller (miller(AT)u.arizona.edu), Feb 22 2000

%E Offset corrected by _R. J. Mathar_, Feb 05 2009

%E a(98)-a(99) corrected by _Sean A. Irvine_, Dec 02 2021