User blog comment:B1mb0w/Alpha Function/@comment-25337554-20150705084257/@comment-25337554-20150706104527

Yoour update is wrong. Alpha(4.140138408)=D(1,9,8), because it's smaller than 2393/578, which is equal to 4.140138408+(and so on). You must use 4.140138409 for bound. Or you can say Alpha(4.141)>Alpha(2393/578)=D(1,9,9), using the exact bound value.