[hpqocnat] Continued fraction of 2 pi

The constant sometimes called tau.

In[1]:= ContinuedFraction[2 Pi, 1000]
Out[1]= {6, 3, 1, 1, 7, 2, 146, 3, 6, 1, 1, 2, 7, 5, 5, 1, 4, 1, 2, 42, 5, 31, 1, 1, 1, 6, 2, 2, 4, 3, 12, 49, 1, 5, 1, 12, 1, 1, 1, 2, 3, 1, 2, 1, 1, 3, 1, 16, 2, 1, 1, 15, 2, 3, 6, 3, 8, 18, 6, 1, 2, 1, 3, 2, 1, 2, 2, 1, 1, 2, 1, 8, 2, 33, 1, 80, 91, 1, 10, 1, 5, 1, 2, 2, 2, 1, 49, 2, 8, 2, 3, 5, 4, 2, 1, 1, 1, 1, 5, 1, 17, 1, 2, 4, 1, 53, 1, 1, 1, 3, 4, 4, 21, 5, 1, 3, 6, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 4, 14, 1, 7, 1, 28, 2, 9, 2, 4, 1, 1, 9, 2, 1, 37, 1, 1, 14, 15, 3, 7, 1, 1, 1, 1, 2, 1, 17, 6, 1, 7, 2, 1, 27, 2, 10, 1, 5, 1, 3, 1, 1, 1, 1, 57, 1, 4, 1, 1, 1, 4, 10, 3, 3, 2, 3, 11, 1, 1, 2, 14, 1, 1, 1, 241, 1, 3, 1, 1, 2, 11, 1, 32, 1, 1, 15, 1, 7, 1, 6, 1, 10, 5, 5, 4, 1, 13, 2, 254, 7, 11, 1, 1, 26, 3, 1, 1, 4, 3, 4, 1, 2, 9, 8, 59, 1, 1, 3, 1, 5, 1, 1, 3, 8, 21, 1, 1, 8, 2, 26, 1, 1, 1, 4, 16, 6, 1, 5, 7, 1, 3, 2, 2, 2, 24, 33, 1, 1, 1, 1, 2, 5, 9, 1, 1, 5, 1, 1, 5, 1, 2, 1, 10, 10, 3, 1, 2, 9, 1, 217, 1, 1, 3, 1, 5, 1, 3, 4, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 5, 8, 1, 1, 4, 2, 1, 2, 8, 3, 19, 1, 2, 2, 2, 1, 1, 7, 2, 5, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 2, 5, 1, 1, 1, 14, 3, 2, 6, 1, 5, 6, 1, 28, 1, 1, 2, 2, 1, 2, 1, 3, 2, 2, 1, 3, 2, 7, 1, 9, 4, 3, 1, 1, 1, 2, 4, 1, 1, 3, 6, 4, 20, 1, 1, 1, 1, 1, 31, 2, 28, 3, 1, 1, 1, 11, 1, 5, 2, 20, 2, 1, 1, 5, 1, 1, 1, 6, 10, 1, 6, 1, 16, 1, 4, 1, 1, 1, 1, 7, 2, 2, 89, 1, 1, 1, 1, 10387, 1, 4, 4, 48, 1, 3, 5, 1, 46, 1, 1, 27, 3, 2, 3, 1, 1, 3, 16, 11, 1, 6, 1, 4, 3, 1, 1, 1, 24, 1, 2, 1, 7, 1, 1, 2, 2, 1, 2, 2, 12, 1, 1, 7, 1, 1, 5, 1, 4, 2, 1, 2, 2, 2, 1, 13, 1, 3, 6, 1, 11, 21, 1, 9, 1, 1, 1, 2, 7, 1, 1, 1, 3, 1, 5, 39, 1, 15, 1, 35, 1, 1, 1, 2, 1, 6, 3, 1, 1, 5, 2, 1, 3, 2, 2, 3, 1, 3, 4, 1, 16, 14, 9, 1, 39, 1, 1, 10, 4, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 3, 3, 5, 1, 3, 1, 2, 1, 2, 1, 5, 1, 3, 4, 13, 1, 3, 3, 5, 1, 4, 12, 13, 3, 1, 1, 5, 4, 32, 1, 17, 1, 1, 1, 1, 2, 2, 45, 1, 2, 53, 4, 1, 2, 1, 1, 25, 5, 15, 2, 4, 17, 1, 8, 2, 1, 1, 1, 5, 1, 1, 1, 1, 11, 2, 9, 4, 5, 7, 1, 2, 1, 1, 2, 1, 1, 6, 16, 3, 4, 1, 4, 1, 3, 8, 1, 3, 35, 3, 1, 10, 2, 1, 3, 1, 23, 1, 2, 1, 14, 1, 14, 8, 14, 1, 1, 1, 10, 1, 1, 284, 2, 1, 3, 14, 1, 4, 3, 1, 3, 3, 1, 16, 2, 1, 1, 1, 4, 1, 14, 1, 25, 2, 36, 5, 4, 4, 2, 1, 4, 1, 8, 6, 1, 11, 2, 2, 3, 3, 1, 5, 4, 2, 5, 7, 1, 1, 1, 5, 1, 3, 19, 1, 1, 2, 3, 1, 7, 1, 1, 62, 2, 2, 2, 1, 2, 9, 1, 10, 6, 1, 1, 1, 22, 1, 1, 1, 2, 4, 1, 2, 20, 2, 29, 1, 6, 83, 1, 1, 1, 18, 6, 1, 1, 2, 3, 2, 1, 1, 2, 2, 2, 10, 1, 6, 1, 5, 4, 2, 4, 6, 1, 1, 1, 1, 2, 18, 1, 1, 1, 1, 2, 1, 1, 1, 7, 2, 50, 2, 54, 1, 15, 5, 3, 3, 26, 2, 2, 2, 1, 6, 25, 1, 1, 2, 3, 3, 1, 16, 2, 2, 1, 1, 1, 2, 2, 1, 1, 7, 16, 4, 95, 1, 1, 4, 6, 4, 6, 2, 6, 2, 1, 10, 1, 1, 4, 5, 1, 1, 1, 2, 8, 1, 3, 1, 2, 2, 4, 1, 1, 6, 1, 3, 1, 1, 2, 19, 1, 1, 1, 10, 1, 1, 6, 3, 1, 1, 41, 124, 1, 187, 1, 2, 1, 53, 2, 5, 6, 1, 4, 15, 1, 5, 5, 4, 1, 124, 1, 4, 3, 1, 1, 1, 1, 1, 2, 13, 4, 2, 1, 3, 1, 2, 1, 36, 6, 2, 1, 1, 20, 1, 7, 1, 3, 1, 29, 13, 3, 2, 1, 14, 2, 1, 2, 1, 4, 7, 1, 2, 1, 1, 18, 1, 1, 1, 2, 1, 2, 8, 3, 1, 9, 1, 4, 3, 3, 2, 2, 4, 3, 1, 2, 1, 4, 2, 1, 6, 22, 1, 2, 1, 260, 1, 1, 1, 1, 32, 4, 2, 8, 1, 1, 2, 1, 1, 3, 1, 2, 3, 4, 2, 2, 6, 5, 1, 2, 1, 7, 2, 5, 2, 5, 2, 1, 13}