Expansion of e.g.f. log(1+x)*cos(log(1+x)).

Terms

a(0) =0a(1) =1a(2) =-1a(3) =-1a(4) =12a(5) =-76a(6) =480a(7) =-3284a(8) =24752a(9) =-205620a(10) =1874340a(11) =-18639820a(12) =201028080a(13) =-2337859200a(14) =29162187600a(15) =-388263812000