Number of pairs of twin primes between e^n and e^(n+1) (where e = 2.718281828...).
0, 2, 2, 2, 5, 10, 19, 41, 96, 195, 439, 1015, 2314, 5472, 12942, 30704, 73388, 177004, 431461, 1056258
0
There are no twin prime pairs between 1 and e.
T. D. Noe, Plot of 20 terms
(Mma) Table[s = Select[Range[Ceiling[E^n], Floor[E^(n + 1)]], PrimeQ]; Length[Intersection[s, s + 2]], {n, 0, 19}]
Cf. A061273 (primes between powers of e), S000188.
nonn
T. D. Noe, Aug 11 2014