%I
%S 9,8,6,2,4,9,0,1,5,0,4,4,8,5,9,3,3,6,3,7,0,0,3,4,7,4,3,0,0,5,8,8,2,7,
%T 8,2,3,1,1,3,2,5,3,4,2,6,0,8,6,4,6,3,3,0,1,5,5,9,5,1,4,9,4,2,1,5,8,8,
%U 4,1,2,6,7,7,7,6,1,5,0,8,1,0,5,1,5,3,9,1,6,4,8,3,8,1,1,0,0,7,5,0
%N Decimal expansion of a number x such that adding exp(1) to each of the partial quotients of the continued fraction of x evaluates to x+2.
%C The continued fraction of x is [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, ...] and [0+e; 1+e, 71+e, 1+e, 2+e, 1+e, 1+e, 2+e, 19+e, 21+e, 2+e, 1+e, 1+e, ...] = [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, 1, 3, 9, ...] = x+2.
%e x=0.986249015044859336370034743005882782311325342608646330155951494215884126777
%Y Cf. A087043.
%K nonn,cons
%O 0,1
%A _Paul D. Hanna_, Aug 02 2003
