A013197 log(sec(x)+sinh(x))=x+4/4!*x^4-20/5!*x^5+120/6!*x^6-560/7!*x^7...

1, 0, 0, 4, -20, 120, -560, 2784, -7920, -24960, 1034880, -14625536, 172569280, -1661936640, 12339608320, -13269651456, -1902800305920, 53452617646080, -1037015219466240, 16547577836929024, -208832669083243520