Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + arcsin(x).

A354115

Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + arcsin(x).

Terms

    a(0) =1a(1) =-2a(2) =1a(3) =-4a(4) =29a(5) =-244a(6) =1583a(7) =-10368a(8) =124553a(9) =-2029776a(10) =20127867a(11) =-180343296a(12) =3978820221a(13) =-75977108544a(14) =914656587063

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