A053681 Positions where 8 occurs in decimal expansion of e (starting count at decimal point).

3, 5, 7, 9, 23, 86, 90, 121, 159, 165, 181, 184, 185, 205, 209, 221, 229, 230, 249, 251, 256, 261, 268, 310, 312, 323, 326, 340, 366, 403, 406, 417, 434, 437, 455, 469, 479, 487, 488, 495, 507, 527, 531, 535, 543, 548, 552, 553, 558, 568, 577, 581, 582, 606