2655408domain: NAppears in sequencesa(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n^3.at n=19A070903E.g.f.: Product_{k>=1} (1 + sinh(k*x^k)).at n=8A270669E.g.f.: Product_{k>=1} (1 + k*sinh(x^k)).at n=8A270670