A013333 sinh(exp(x)-sec(x))=x+2/3!*x^3-4/4!*x^4+12/5!*x^5-120/6!*x^6...

1, 0, 2, -4, 12, -120, 128, -4464, 6912, -206880, 776800, -12788224, 95713984, -1101528064, 13091780224, -133871961344, 2061579919104, -22144979338752, 381671021731840, -4690276122840064, 83860033272100864