A012280 sech(exp(x)*log(x+1))=1-1/2!*x^2-3/3!*x^3-6/4!*x^4+30/5!*x^5...

1, 0, -1, -3, -6, 30, 270, 1400, -3080, -86184, -893760, -754688, 61595424, 1201314400, 5341239904, -68598744240, -2871938780672, -25391249097088, 31527888993024, 10819112145879168, 155954430765392768