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%I #8 Dec 03 2024 08:24:33
%S 1,1,0,0,9,2,5,2,1,2,5,7,7,3,3,1,5,4,8,8,5,3,2,0,3,5,4,4,5,7,8,4,1,5,
%T 9,9,1,0,4,1,8,8,2,7,6,2,3,0,7,5,4,1,0,3,5,4,5,1,7,4,2,1,7,6,0,3,7,8,
%U 6,1,1,5,8,0,4,8,8,3,5,0,7,4,2,0,0,7,6,9,8,4,7,0,0,3,0,8,1,7,8,6,2,7,8,9,1
%N Decimal expansion of (3+sqrt(13))/6.
%C Continued fraction expansion of (3+sqrt(13))/6 is A010690.
%C Minimal polynomial: 9*x^2 - 9*x - 1. - _Amiram Eldar_, Dec 03 2024
%H Daniel Starodubtsev, <a href="/A176019/b176019.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals Product_{k>=2} (1 + (-1)^k/A092936(k)). - _Amiram Eldar_, Dec 03 2024
%e 1.10092521257733154885320354457841599104188276230754...
%t RealDigits[(3 + Sqrt[13])/6, 10, 120][[1]] (* _Amiram Eldar_, Dec 03 2024 *)
%Y Cf. A010470 (decimal expansion of sqrt(13)), A010690 (repeat 1, 9), A092936.
%K cons,nonn
%O 1,5
%A _Klaus Brockhaus_, Apr 06 2010