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

Terms

a(0) =1a(1) =0a(2) =-1a(3) =3a(4) =-10a(5) =40a(6) =-190a(7) =1050a(8) =-6620a(9) =46800a(10) =-365300a(11) =3103100a(12) =-28269800a(13) =271627200a(14) =-2691559000a(15) =26495469000a(16) =-238131478000