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

A354056

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

Terms

    a(0) =1a(1) =-2a(2) =1a(3) =-4a(4) =21a(5) =-196a(6) =1023a(7) =-5440a(8) =65145a(9) =-1237456a(10) =10925883a(11) =-69882880a(12) =1994183205a(13) =-39099282496a(14) =372390766023

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