|
%I #13 Sep 08 2022 08:45:57
%S 1,1,4,6,1,2,2,2,1,1,6,1,179,46,1,1,3,2,1,1,3,6,3,1,1,1,1,2,1,1,56,1,
%T 1,1,1,66,1,1,2,17,8,2,7,12,1,1,8,1,2,2,1,1,2,1,12,1,2,2,2,2,1,1,1,8,
%U 1,1,1,1,2,1,2,5,1,6,8,1,1,1,2,7,1,9,1,2,5,7,1,6,1,10,1
%N Continued fraction of (1+sqrt(1+r))/r, where r=sqrt(2).
%C Equivalent to the periodic continued fraction [r,2,r,2,...] where r=sqrt(2). For geometric interpretations of both continued fractions, see A190281 and A188635.
%C a(n) = A154748(n+1) for n > 0. - _Georg Fischer_, Oct 14 2018
%H G. C. Greubel, <a href="/A190282/b190282.txt">Table of n, a(n) for n = 1..5000</a>
%t ContinuedFraction[(1 + Sqrt[1 + Sqrt[2]])/Sqrt[2], 50] (* _G. C. Greubel_, Jan 31 2018 *)
%o (PARI) contfrac((1 + sqrt(1 + sqrt(2)))/sqrt(2)) \\ _G. C. Greubel_, Jan 31 2018
%o (Magma) ContinuedFraction((1 + Sqrt(1 + Sqrt(2)))/Sqrt(2)); // _G. C. Greubel_, Jan 31 2018
%Y Cf. A154748, A188635, A190282.
%K nonn,cofr
%O 1,3
%A _Clark Kimberling_, May 07 2011
|
