A013193 log(sec(x)+log(x+1))=x-1/2!*x^2+4/3!*x^3-15/4!*x^4+93/5!*x^5...

1, -1, 4, -15, 93, -633, 5381, -51506, 565957, -6922205, 93992413, -1398890284, 22689478823, -398141898399, 7519118564551, -152056970221072, 3278894568674073, -75103176871966409, 1821102601528126265