Wolfdieter Lang, Jun 21 2011
 Rationals r(n):= A191996(n)/A191997(n), n=1..20:

 [2, 3/2, 45/32, 175/128, 693/512, 11011/8192, 2807805/2097152, 302307005/226492416, 402243205/301989888, 714186915/536870912, 42803602439/32212254720, 11086133031701/8349416423424, 5908908905896633/4453022092492800, 1488200914442251997/1122161567308185600, 3041106216468949733/2294196982052290560, 16213234917387714257/12235717237612216320, 21611220383343195817/16314289650149621760, 77778782159652161745383/58731442740538638336000, 67745319261057032880228593/51166832915557261718323200, 4809917667535049334496230103/3633586685307689600286720000]

 Numerators(r(n))=A191996(n), n=1..20:
 [2, 3, 45, 175, 693, 11011, 2807805, 302307005, 402243205, 714186915, 42803602439, 11086133031701, 5908908905896633, 1488200914442251997, 3041106216468949733, 16213234917387714257, 21611220383343195817, 77778782159652161745383, 67745319261057032880228593, 4809917667535049334496230103]
 
Denominators(r(n))=A191997(n), n=1..20:
 [1, 2, 32, 128, 512, 8192, 2097152, 226492416, 301989888, 536870912, 32212254720, 8349416423424, 4453022092492800, 1122161567308185600, 2294196982052290560, 12235717237612216320, 16314289650149621760, 58731442740538638336000, 51166832915557261718323200, 3633586685307689600286720000]

 Limit: r = lim_{n->infty} r(n) approximately 1.3203236 (as given in the K. Conrad reference, Exercise 1, p. 134)

 r(10^N) for N=1..4, is (maple13 10 digits): 1.330276793, 1.320660570, 1.320340403, 1.320324640.
 
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