Please give the next 3 terms of this sequence, and the formula used or explanation of the terms, if possible: 2/3, 1/3, 4/15, 4/15, 32/105, 8/21........etc. Thank you for any help.
The sequence is: 2/3, 1/3, 4/15, 4/15, 32/105, 8/21, 32/63, 32/45, 512/495, 256/165......etc.
The formula used is: a(n) = 2^(n + 1) / (n (n + 1) (n + 2)) (for all terms given).