The Flajolet Constants. 

Constants constructed with the Thue-Morse sequence, see 
Encyclopedia of Integer sequences,
Sequence # M0068 or A001030 or N0021.

2,1,1,2,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,1,
2,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,2,1,1

Fixed under  1  ->  21, 2  ->  211.
Appears in  Math. Magazine vol,  36 page 180 1963.


.81168692154477931   product((n/(n+1))^((-1)^t(n-1)),n = 1 .. infinity)
.8711570464148937   product((2*n/(2*n+1))^((-1)^t(n-1)),n = 1 .. infinity)
1.628160129718917   product((2*n/(2*n+1))^((-1)^t(n)),n = 1 .. infinity)
2.302566137163630   product((n/(n+1))^((-1)^t(n)),n = 1 .. infinity)

Here t(n) is Thue-Morse sequence.


                         infinity
                         --------'             t(n - 1)
                        '  |  |    /  n  \((-1)        )
                           |  |    |-----|
                           |  |    \n + 1/
                           |  |
                          n = 1



                       infinity
                       --------'                 t(n - 1)
                      '  |  |    /     n   \((-1)        )
                         |  |    |2 -------|
                         |  |    \  2 n + 1/
                         |  |
                        n = 1


                         infinity
                         --------'                 t(n)
                        '  |  |    /     n   \((-1)    )
                           |  |    |2 -------|
                           |  |    \  2 n + 1/
                           |  |
                          n = 1

                           infinity
                           --------'             t(n)
                          '  |  |    /  n  \((-1)    )
                             |  |    |-----|
                             |  |    \n + 1/
                             |  |
                            n = 1

                               .81168692154477931

                               .8711570464148937

                               1.628160129718917

                               2.302566137163630


































# This is the electronic signature for Plouffe's Inverter        #
# Ceci est la signature électronique pour l'Inverseur de Plouffe #
# Copyright : Simon Plouffe/Plouffe's Inverter (c) 1986.         #
# http://www.lacim.uqam.ca/pi                                    #