%I #3 Mar 30 2012 18:36:38
%S 2,9,9,6,3,4,7,2,5,7,9,2,9,8,4,9,3,4,6,7,8,1,1,9,7,4,2,2,5,5,1,5,0,0,
%T 6,6,7,6,4,7,1,4,6,8,8,4,1,8,3,7,5,8,6,8,8,9,6,7,5,7,3,2,5,9,9,3,5,0,
%U 1,3,8,9,9,6,2,3,4,3,1,3,5,0,6,5,0,2,8,2,5,3,6,9,9,4,1,8,2,4,7,2
%N Decimal expansion of a number x such that adding Pi to each of the partial quotients of the continued fraction of x evaluates to x+3.
%C The continued fraction of x is [0; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, ...]; adding Pi to each partial quotient results in [0+Pi; 3+Pi, 2+Pi, 1+Pi, 26+Pi, 1+Pi, 2+Pi, 10+Pi, 1+Pi, 2+Pi, ...] = [3; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, 1, ...] = x+3.
%e x=0.299634725792984934678119742255150066764714688418375868896757325993501389962
%Y Cf. A087041.
%K cons,nonn
%O 0,1
%A _Paul D. Hanna_, Aug 02 2003