Numerators of a Farey series.
1, 2, 9, 48, 1250, 9000, 2941225, 172103680, 13610558304, 720135360000, 5147281912068450, 277231266827665920, 134842089320039927801547, 131481269858903931341511136, 60113478286798907951120765625
1
The n-th term of the series is the numerator of the reciprocal of the product of the nonzero terms of F(n) (see Weisstein below).
T. D. Noe, Plot of 100 terms
T. D. Noe, Table of 100 terms
Jeffrey C. Lagarias and Harsh Mehta, Products of Farey fractions, arXiv 1503.00199 (Mar 01 2015)
Eric W. Weisstein, MathWorld: Farey Sequence
(Mma) FBar[n_] := (prod = 1; Do[If[GCD[h, k] == 1, prod = prod*h/k], {k, n}, {h, k}]; 1/prod); s = Table[FBar[n], {n, 15}]; Numerator[s]
Cf. A006842, A006843, S000514, S000515, S000516.
nonn
T. D. Noe, Mar 03 2015