A012473 sech(cos(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3+6/4!*x^4-60/5!*x^5...

1, 0, -1, 3, 6, -60, 0, 2310, -10752, -84168, 1152240, 2453880, -154467192, 797768400, 16907851688, -250017997320, -1746679208128, 77446551835648, -318565680255360, -18241668233387712, 262053618149070080