add euler065 solution

euler0XX/euler065.py

@@ -0,0 +1,28 @@
+from fractions import Fraction
+from itertools import count
+
+def terms_for_e():
+    for k in count(2, 2):
+        yield 1
+        yield k
+        yield 1
+
+def drop(sequence, n):
+    for _, value in zip(range(n), sequence):
+        pass
+    yield from sequence
+
+def take(sequence, n):
+    for _, value in zip(range(n), sequence):
+        yield value
+
+def continued_fractions(a0, an):
+    frac = Fraction(0)
+    for ai in reversed(an):
+        frac = Fraction(1, ai + frac)
+    return a0 + frac
+
+terms = [*take(terms_for_e(), 99)]
+e_fraction = continued_fractions(2, terms)
+digits = str(e_fraction.numerator)
+print(sum(int(n) for n in digits))