A188933 - OEIS

%I #8 Jul 08 2024 10:40:12

%S 5,2,9,5,2,687,6,4,1,2,2,1,2,3,1,1,1,1,1,317,19,1,1,1,6,3,8,11,10,7,1,

%T 1,5,2,1,14,1,35,6,6,1,7,2,4,1,3,1,1,1,1,1,1,4,1,1,1,1,4,2,84,1,3,1,6,

%U 2,1,1,2,3,1,1,7,1,4,1,31,9,1,3,9,7,1,3,1,1,3,1,1,62,12,1,24,2,1,4,1,2,1,2,2,1,1,1,1,2,3,1,3,1,10,1,1,1,14,1,1,1,2,4,1

%N Continued fraction of sqrt(7)+sqrt(8).

%C For a geometric interpretation, see A188640 and A188932.

%e sqrt(7)+sqrt(8)=[5,2,9,5,2,687,6,4,1,2,2,1,2,3,1,1,1,1,1,...].

%t r = 28^(1/2); t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]

%t N[t, 130]

%t RealDigits[N[t, 130]][[1]]

%t ContinuedFraction[t, 120]

%Y Cf. A188932 (decimal expansion).

%K nonn,cofr

%O 0,1

%A _Clark Kimberling_, Apr 13 2011

%E Offset changed by _Andrew Howroyd_, Jul 08 2024